Find the general solution for each of the following differential equations.

Given Differential Equation :

Formula :

i)

ii)

iii)

iv)

v) General solution :

For the differential equation in the form of

The general solution is given by,

Where integrating factor,

Answer :

Given differential equation is

Dividing the above equation by 2x,

………eq(1)

Equation (1) is of the form

Where, and Q = 3x²

Therefore, integrating factor is

………

………

= √x………

General solution is

………

Dividing the above equation by √x