$$(xy)(x^2y^2)=4xy3\tag{1}$$ Let $X=xy, Y=xy$ then we get $$X^32XY4Y3 = 0\tag{2}$$ Hence $Y=1/2(X^33)/(X2)$ We can get ${x,y}$ by solving for $t^2XtY=0$ Since discriminant must be positive, we know that $2\leqq X\leqq2$ Thus equation $(2)$ has intger solutions $(X,Y)=(1,2)$ Solving for $t^2t2=0$, we get $t=1$ and $2$The given equation $ {{x}^{2}}4xy{{y}^{2}}6x2yk0 $ (i) represent the point of straight line, if $ \Delta =0, $ where $ \Delta =abc2fgha{{f}^{2}}b{{g}^{2}}c{{h}^{2}}=0 $ (ii)4xyy2=x(xy)y' 4xyy to the power of 2=x(xy)y' Similar expressions
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(x y)^2-4xy formula-Find dy/dx x^24xyy^2=4 Differentiate both sides of the equation Differentiate the left side of the equation Tap for more steps Differentiate Reform the equation by setting the left side equal to the right side Solve for Tap for more steps Move all terms not containing to the right side of the equationAnswerStepbystep explanationSTEPS USING THE QUADRATIC FORMULA =x 2 y 2 −2xy−1=0 All equations of the form ax 2 bxc=0 can be solved using the quadra manepallyramakrishna manepallyramakrishna Math Primary School answered (x^2y^22xy) 4xy is 1 See
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1) x 4y = 0 and x 3y = 0 2) 2x – 3y = 0 and x – 4y = 0 3) x – 6y = 0 and x – 3y = 0 4) x 4y = 0 and x – 3y = 0 Solution Given x 2 xy – 12y 2 = 0 => x 2 4xy – 3xy – 12y 2 = 0 => x(x 4y) – 3y(x 4y) = 0 => (x 4y)(x – 3y) = 0 Separate equations are x 4y = 0 and x – 3y = 0 Hence option (4) is the answerY' = y/(x^216) (x^21)y'2xy=2x; The equation cos^{2}\theta = 0 vote Asked on by Guest Votes 0 Views 10 s mathematics , trigonometry , quantitative aptitude , ssc Add Bounty
Differential equation y'' y'=3x^2;A x?y blt is exact Cxy 2If the equation 2x^2 4xy 7y^212x2yt=0 where "t' is a parameter has exactly one real solution of the form (x,y)Then the sum of (xy) =?
There are many method or ways to solve this question METHOD1 so if know the formula (XY) ^2=(XY) ^2 4XY Substituting the values We get 11^2=(XY) ^2 23 121 23 = (XY) ^2 144 = (XY) ^2 Therefore (XY) = 12 METHOD 2 If you don't know orWe havesec2θ = (xy)24xy cos2θ = 4xy(xy)2 We knw that0 ≤ cos2θ ≤ 10 ≤ 4xy(xy)2 ≤10 ≤ (xy)2 ≤4xy0 ≤ (x−y)2 ≤00 ≤ x−y ≤ 0x = y A ∆OPQ is formed by the pair of straight lines x 2 – 4xy y 2 = 0 and the line PQ The equation of PQ is x y – 2 = 0 Find the equation of the median of the triangle ∆OPQ drawn from the origin O Solution Equation of pair of straight lines is x 2 – 4xy y 2 = 0 (1) Equation of the given line is x y – 2 = 0 ⇒ y = 2
Doab Is Formed By The Lines X2 4xy Y2 0 And The Line Ab The Equation Of Line Ab Is 2x 3y 1 0 Find The
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Please see below A conic equation of the type of Ax^2BxyCy^2DxEyF=0 is rotated by an angle theta, to form a new Cartesian plane with coordinates (x',y'), if theta is appropriately chosen, we can have a new equation without term xy ie of standard form The relation between coordinates (x,y) and (x'y') can be expressed as x=x'costhetay'sintheta and y=x'sinthetay'costheta or xIdentical expressions (x^ two one)*y'4xy= three (x squared plus 1) multiply by y stroke first (1st) order plus 4xy equally 3 (x to the power of two plus one) multiply by y stroke first (1st) order plus 4xy equally threeSolve for x y 2x²4xy 1 = 0 🧮Solve for x 2x²4x 1 = 0 Quadratic Equation Calculator To solve a 2 nd order equation like ax² bx c = 0, enter or replace the coefficients a, b and c Where, a is mandatory and nonzero Ex To find the roots of the equation 2x² 4x
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Some Useful Algebra Formulas Just remembering Algebra (math) formulas are not going to help you to crack any examinations, one should have the ability to execute these formulas in the exam hall To do that, one has to practice the various types of algebraic math problems repeatedly Some Important Formulas of Algebra Square Formula 01Sec 2 θ = 4xy/(x y) 2 is true if and only if 1) x y ≠ 0 2) x = y, x ≠ 0 3) x = y 4) x ≠ 0, y ≠ 0 Answer (2) x = y, x ≠ 0 Solution Given, sec 2 θ = 4xy/(x y) 2 We know that, sec 2 θ ≥ 1 Therefore, 4xy/(x y)2 ≥ 1 4xy ≥ (x y) 2 ⇒ (x y) 2 – 4xy ≤ 0 ⇒ (x – y) 2 ≤ 0 ⇒ x – y = 0 ⇒ x = y Now, x y We know that the xintercepts are 2 and 6 So, halfway between them on the x line is positive 2 Therefore x=2 at the vertex Plug that into the equation y=x^24x12 and solve for y I know this wont work for every question of this type but it might save some time in this particular question • Comment
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X^2 y''4xy'2y=0 cauchy euler equation The point to which the axes to be translated to eliminate x and y terms in the equation 3x^(2) 4xyEquation at the end of step 1 (((x y) • 2) 2 • (x y)) 4xy = 0 Step 2 Equation at the end of step 2 (2 • (x y) 2 • (x y)) 4xy = 0 Step 3 Step 4 Pulling out like terms 41 Pull out like factors 4y 4xy = 4y • (x 1) Equation at the end of step 4 4y • (x 1) = 0 Step 5If it is not exact what is its integrating factor?
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Solve the equation (x2y) dx 2 (yx) dy = 0 Answers should be within these givens x2 – xy 4y2 = C x2 2xy 2y2 = C x2 4xy 2y2 = C x2 4xy 4y2= C check_circle4xyy^ two =x(xy)y' 4xy plus y squared equally x(x plus y)y stroke first (1st) order ;(1) "^2" was replaced by "^(2)" Step 1 x 4 Simplify ————————— x 2 y 2 y 4 Step 2 Pulling out like terms 21 Pull out like factors x 2 y 2 y 4 = y 2 • (x 2 y 2) Evaluate an expression 22 Factoring x 2 y 2 Theory A difference of two perfect squares, A 2 B 2 can be factored into (AB) • (AB)
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5xy³)dy = 0 exact ?(xy) ^2 = x^2 2xy y^2 Explaination (xy) ^2 can be written as (xy) (xy) = x(xy) y(xy) = x^2 xy xy y^2 = x^2 2xy y^2Solution for Is differential equation (4xy 3y4)dx (2x?
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I = e^(int P(x The equation `xy=4 and x^24xyy^2=0` represent the sides of The equation `xy=4 and x^24xyy^2=0` represent the sides of The equation `xy=4 and x^24xyy^2=0` represent the sides of Books Physics NCERTDC PandeySunil BatraHCIf S = sin n π sin n 2 π sin n 3 π sin n (n − 1) π sin (n n π ) Then find the value of n if S = 2 3 View solution The value of cos ( 4 π x ) cos ( 4 π − x ) is
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Answer to Solve the differential equation x^2y'' xy' 4y =0 By signing up, you'll get thousands of stepbystep solutions to your homeworkSolution for 4xy (xy)= equation Simplifying 4xy (x y) = 0 (x * 4xy y * 4xy) = 0 Reorder the terms (4xy 2 4x 2 y) = 0 (4xy 2 4x 2 y) = 0 Solving 4xy 2 4x 2 y = 0 Solving for variable 'x'Find the general solution of the equation \({x^2}y^{\prime\prime} – 4xy' 6y\) \(= 0\) using the Liouville formula A particular solution of the equation is known and has the form \({y_1} = {x^2}\)
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4xy''(y')^2=4y' yy' x= 0;Simple and best practice solution for X^24xyy^2=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework9*y 6*y' y'' = e^(3*x)/x^3;
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Polynomial identities (short multiplication formulas) (x y) 2 = x 2 2xy y 2 (x y) 2 = x 2 2xy y 2 Example 1 If x = 10, y = 5a (10 5a) 2 = 10 2 2·10·5a (5a) 2 = 100 100a 25a 2 Example 2 if x = 10 and y is 4 (10 4) 2 = 10 2 2·10·4 4 2 = 100 80 16 = 36 The opposite is also true 25 a 4a 2 = 5 2Answer to Find the equation of the tangent line to the graph of x y^2 4xy = 12 at the point (2, 3) By signing up, you'll get thousands ofSubtract 4 x y from both sides Combine 2xy and 4xy to get 2xy Combine 2 x y and − 4 x y to get − 2 x y All equations of the form ax^ {2}bxc=0 can be solved using the quadratic formula \frac {b±\sqrt {b^ {2}4ac}} {2a} The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction
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y = arctan(x)/(1x^2)^2 C/(1x^2)^2 We have (1x^2)y'4xy=(1x^2)^2 A We can rearrange A as follows (1x^2)y'4xy = 1/(1x^2)^2 dy/dx (4x)/(1x^2)y = 1/(1x^2)^3 B We can use an integrating factor when we have a First Order Linear nonhomogeneous Ordinary Differential Equation of the form;Simplify (4xy)/(x^2y^2)(xy)/(xy) Since both terms are perfect squares, factor using the difference of squares formula, where and To write as a fraction with a common denominator, multiply by Simplify termsTransform the equation `x^24xyy^22x2y4=0` into the form `(y'^2)/(b^2)(x'^2)/(a^2)=1` Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams
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4xy plus y to the power of two equally x(x plus y)y stroke first (1st) order ;To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW Show that the equation `sec^2 theta=(4xy)/(xy)^2` is only possible when x=y (x y)^24xy formula (x y)^24xy formulaStack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangePair of Linear Equations in Two Variables (xy)2 = (xy)2 4xy how ?
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Remark Through unhappy experiences, I have somewhat of an aversion to fractions, so would prefer to say that the equation $x^2xyy^2=0$ is equivalent to $4x^24xy4y^2=0$ But $$4x^24xy4y^2=(2xy)^23y^2$$ Or else, if we feel bad about breaking symmetry, we can avoid completing the square, and instead note that $$2x^22xy2y^2=(xy)^2x^2y^2$$ Again, we have a sum of squares on the right, and this can be $0$ only if $x$, $y$ (and therefore $xyGiven the surface f(x, y) = 3x2 – 4xy 5y2, answer the following questions (a) Write the equation of the plane tangent to f(x,y) at the point (2, 1) (b) Find the point (a, b) where the tangent plane to the surface f(x, y), is parallel to the plane 2x 28y – z = 0Dy/dx P(x)y=Q(x) So we form an Integrating Factor;
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreX y 24 24 4 4 xˆ yˆ 4x2 2 4xy 1 7y2 5 24 u 5 arcsin(œ5/5) Figure 5 There is an easily applied formula that can be used to determine which conic will be produced once the rotation has been performed Suppose that a rotation of the coordinate axes changes the equation Ax2 BxyCy2 DxEyF =0 into the equation A^x^2 B^x^y^C^y^2 D^x^E^y^F^ =0A differential equation in which the degrees of all the terms is the same is known as a homogenous differential equation x 2 y 2 xy and xy yx are examples of homogenous differential equations y x(dy/dx) = 0 is a homogenous differential equation of degree 1 x 4 y 4 (dy/dx) = 0 is a homogenous differential equation of degree 4
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Find an answer to your question For what real values of x and y is the equation sec^2=4xy/(xy)^2 possibleThe joint (combined) equation of the lines OA and OB is x 2 4xy y 2 = 0 and the equation of the line AB is 2x 3y 1 = 0 ∴ points A and B satisfy the equations 2x 3y 1 = 0 and x 2 4xy y 2 = 0 simultaneously We eliminate x from the above equations, ie, put x = `(1For y(1) = 0 and y' (1) = 2, the value of y" (1) is a 2 b 8 C 0 d 16 e 2 Question Given the differential equation xy" – 4xy 6y= 0 This problem has been solved!
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1 Answer 1 vote answered by Sarita01 (535k points) selected by AmanYadav Best answer Comparing the given equation with Mdx Ndy = 0, we get M = x2 4xy 2y2, N = y2 4xy 2x2 dM/dy = 4x 4y dN/dx = 4y 4x
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