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Show that the Given Differential Equation is Homogeneous and Solve Each of Them (X – Y) Dy – (X + Y) Dx = 0 - CBSE (Commerce) Class 12 - Mathematics

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Question

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

(x – y) dy – (x + y) dx = 0

Solution

The given differential equation is:

Integrating both sides, we get:

This is the required solution of the given differential equation.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 3 | Page no. 406
Solution Show that the Given Differential Equation is Homogeneous and Solve Each of Them (X – Y) Dy – (X + Y) Dx = 0 Concept: Methods of Solving First Order, First Degree Differential Equations - Homogeneous Differential Equations.
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