Question

Find the interval of existence of:
y''+(sinx)y'+xy=e^x, y(0)=1

Answer 1

What do you mean by interval of existence? Like the values of x where the function is defined?

Answer 2

Yep

Answer 3

@amistre64 @phi @Zarkon

Answer 4

Use method of undetermined coefficients.

Answer 5

I don't need to solve it, I just need to find the interval of existence!

Answer 6

I think you need to solve it first to get a set of solution and then use Wronskian.

Answer 7

I'm completely lost now! How do I do that? I only know how to solve the second order differential equations in the form:
y''+Qy'+Py=0, but there is an extra e^x here