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For each of the differential equations given in question, find the general solution:

It is given that

This is equation in the form of (where, p = 3 and Q = )

Now, I.F. =

Thus, the solution of the given differential equation is given by the relation:

y(I.F.) =

⇒ ye^{3x} = e^{x} + C

⇒ y = e^{-2x} + Ce^{-3x}

Therefore, the required general solution of the given differential equation is y = e^{-2x} + Ce^{-3x}

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