The differential equation is and initial condition is
.
The differential equation is a first order linear differential equation.
\Solution of first order linear differential equation is
.
Compare with standard form of differential equation.
and
.
First find .
Apply integration formula .
.
The solution of differential equation is .
Substitute and
in the above equation.
The solution of the differential equation is .
Initial condition is .
Substitute and
in the solution of the differential equation.
Substitute in the solution of the differential equation.
The solution of the differential equation is
The solution of the differential equation is .