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



∫cosec2vdv = - logx – logC


-cot v = - logx – logC


cot v = logx + logC






1 = C


e1 = C



The required solution of the differential equation.


13
1