Q. 19

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

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

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