Solve the following differential equations :

Here,

It is homogeneous equation

Put y = vx

And

So,

Integrating both sides we get,

…… (A)

Comparing the coefficient of like power of v

– A + C = 1 ……(i)

2A – B = 0

B = 2A ……(ii)

2B + 4C = 1 …… (iii)

Solving eq. (i),(ii) and (iii),

A = – 3/8,B = – 3/4, C = 5/8

Using eq.(A)