# Find the general

Given Differential Equation :

Formula :

i)

ii)

iii)

iv)

v)

vi) General solution :

For the differential equation in the form of

General solution is given by,

Where, integrating factor,

Given differential equation is

………eq(1)

Equation (1) is of the form

Where, and

Therefore, integrating factor is

………

General solution is

………eq(2)

Let,

Let, u=sin x and v=e2x

………

………

Again, let u=cos x and v=e2x

………

………

Multiplying above equation by 4,

Substituting I in eq(2),

Dividing above equation by e2x,

Therefore general equation is

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