Integrating factor question

[Sonal7]

I cant see the error. The option 2 is wrong when I click on it. Please see my working, I thought it would be the right answer

 

[Sonal7]

I got it how c isnt 0!!!

 

[Deleted member 4993]

I got it how c isnt 0!!!

Your integration was incorrect. It should have been:

y * e^2x = (1/2)*x * e^2x - (1/4) * e^2x + C

Now apply at x=0, we have y = 0 $\displaystyle \to$ C = 1/4

 

[Sonal7]

Ah stupid mistake. I got it now. thanks a lot