Question

If g(t) is not everywhere zero, assume that the solution is of the form y= A(t)...

If g(t) is not everywhere zero, assume that the solution is of the form

y= A(t) exp[- the integral of p(t)dt]

1. Where A is now a function of t. By substituting for y in the given differential equation, show that A(T) must satisfy the condition

A'(t)= g(t)exp[ of the integral p(t)dt]

The equation we will be using is y' + p(t)y= g(t)

a) Find the final answer

b) Find y

Please use good handwriting and show as many steps as possible. Thank you

Math   Advanced-Math   
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