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Show that the Given Differential Equation is Homogeneous and Solve Each of Them (X2 – Y2) Dx + 2xy Dy = 0 - Mathematics

Show that the given differential equation is homogeneous and solve each of them

(x2 – y2) dx + 2xy dy = 0

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Solution

The given differential equation is:

Integrating both sides, we get:

This is the required solution of the given differential equation.

Concept: Methods of Solving First Order, First Degree Differential Equations - Homogeneous Differential Equations
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Chapter 9: Differential Equations [Page 406]
Q 4
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NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 4 | Page 406
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