Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 15 of Exercise 9.5

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For each of the differential equations in question, find the particular solution satisfying the given condition:

Here, putting x = kx and y = ky

= k0.f(x,y)

Therefore, the given differential equation is homogeneous.

To solve it we make the substitution.

y = vx

Differentiating eq. with respect to x, we get

Integrating both sides, we get

y = 2 when x = 1

- 1 = C

The required solution of the differential equation.


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