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

Question

Philoid · Accepted Answer

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