solve the linear differential equation:
dy/dx - 2xy = e^x^2

Question

solve the linear differential equation:
dy/dx - 2xy = e^x^2

tkhunny · Answer

There is an integrating factor in your future.  Go!

anonymous · Answer

do separation of variables

anonymous · Answer

I don't really understand any of that I'm having trouble getting the intial setup from there i should be able to follow my notes

anonymous · Answer

just a bit confused because everything has a variable attached

tkhunny · Answer

This is not separable.

tkhunny · Answer

Right, and this is exactly the form desired.

y' + p(x)y = q(x)

Find this form.

anonymous · Answer

ohhhhh so its already set up, thats probably why i was having issues changing it...thank you I will try it again

anonymous · Answer

youre right its not separable my bad

tkhunny · Answer

No worries.  I tried "Undetermined Coefficients" the first time I say this problem.  It worked okay, but WAY too much work.

anonymous · Answer

yeah thats always a feather

anonymous · Answer

so after i use the integrating factor I am left with y(x)  = (1/mu(x))(*integral*mu(x)f(x)
Is this going to be the same for every process and I can just plug the numbers in that I start with?

tkhunny · Answer

You can substitute initial values to determine the value of the constants.