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Show that the Given Differential Equation is Homogeneous and Solve X Dy/Dx - Y + X Sin (Y/X) = 0 - Mathematics

Show that the given differential equation is homogeneous and solve 

`x dy/dx - y +  x sin (y/x) = 0`

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Solution

Therefore, the given differential equation is a homogeneous equation.

To solve it, we make the substitution as:

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 8
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NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 8 | Page 406
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