Page No 406:
Question 11:
find the particular solution satisfying the given condition:

Therefore, the given differential equation is a homogeneous equation.
To solve it, we make the substitution as:
y = vx

Substituting the values of y and
in equation (1), we get:

Integrating both sides, we get:

Now, y = 1 at x = 1.

Substituting the value of 2k in equation (2), we get:
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This is the required solution of the given differential equation.