Integral form of Particular solution question

[rohanlol7]

Homework Statement

I'm fine with the first part. Part b) is causing me trouble
http://imgur.com/xA9CG5G

Homework Equations

The Attempt at a Solution

I tried subbing in the solution y1 into the given equation, but I'm not sure how to differentiate this, i thought of using integration by parts, Maybe i could guess the form of the solution, but so far I can't seem to get anything close to what is required

 

[Dick]

Use this https://en.wikipedia.org/wiki/Leibniz_integral_rule

 

[Buzz Bloom]

Hi rohanlol7:

Given an integral of the form

Y(x) = ∫₀^x y(x)dx​

dY(x)/dx = y(x).

Hope this helps.

ADDED
Sorry. I was careless reading the problem. Dicks' post should help.

Regards,
Buzz