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Prove that X2 – Y2 = C (X2 + Y2)2 is the General Solution of Differential Equation (X3 – 3x Y2) Dx = (Y3 – 3x2y) Dy, Where C is a Parameter. - Mathematics

Prove that x2 – y2 = c (x2 + y2)2 is the general solution of differential equation  (x3 – 3x y2) dx = (y3 – 3x2y) dy, where c is a parameter.

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Solution

Concept: Methods of Solving First Order, First Degree Differential Equations - Homogeneous Differential Equations
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Chapter 9: Differential Equations [Page 420]
Q 4
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NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 4 | Page 420
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