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

Question

Philoid · Accepted Answer

Given Differential Equation :

Formula :

i)

ii)

iii)

iv)

v) General solution :

For the differential equation in the form of

General solution is given by,

Where, integrating factor,

Answer :

Given differential equation is

Dividing above equation by (1+x),

………eq(1)

Equation (1) is of the form

Where, and

Therefore, integrating factor is

………

General solution is

………

Multiplying above equation by (1+x),

Therefore general equation is