The solution of is
The explanation of the correct option:
Step-1 Forming linear differential equation:
The given differential equation: .
Compare the derived equation with .
Thus, and .
Step-2: Integrating factor :
Thus, the integrating factor can be given by,
Step-3 : Solution of linear of differential equation:
Consider the equation:
Multiply both sides of the equation by the integrating factor.
Integrate both sides of the equation.
Therefore, the solution of the differential equation is .
Hence, option A is correct.