PROBLEM 1E

Given that is a solution to and that is a solution to , use the superposition principle to find solutions to the following:

(a)

(b)

(c)

Step 1:

In this problem, we need to find the solution for the given following conditions by superposition principle.

Step 2:

Superposition Principle:

If y1 be the solution to the differential equation

And if y2 be the solution to the differential equation

And let the constants C1 and C2 are two constants. Then the function is a solution to the differential equation

.