For each of the differential equations in question, find the particular solution satisfying the given condition:
Here, putting x = kx and y = ky
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
∫cosec2vdv = - logx – logC
-cot v = - logx – logC
cot v = logx + logC
1 = C
e1 = C
The required solution of the differential equation.