PROBLEM 38E

In Problems 37 through 40, use variation of parameters to find a general solution to the differential equation given that the functions y 1 and y2 are linearly independent solutions to the corresponding homogeneous equation for t > 0. Remember to put the equation in standard form.

Solution

Step 1

In this question we need to find general solution of the given differential equation using variation of parameters method.

First let us write the given differential equation

in its standard form as :

y = t + …………………………………………………….(1)