Hello everyone i'm stuck, i got right to the end of this intial value problem and it doens't seem to want to work.(adsbygoogle = window.adsbygoogle || []).push({});

Solve the separable differential equation for u

{du}/{dt} = e^{3 u + 10 t}.

Use the following initial condition: u(0) = 6.

u = ?

I might have screwed up here:

du = e^(3u)*e^(10*t) dt

I took the ln of both sides but can u take the ln of du? thats where i might have screwed up, if it is, what do u suggest?

Here is my work:

http://img75.imageshack.us/img75/613/lastscan0nu.jpg [Broken]

I tried this and it was wrong, i also tried the answers of 1, ln(5), also was wrong, any ideas on where i screwed up? also the problem says find U, not C, but i don't think i have my C right, once i find the correct C, then do i plug it into one of the equations above invovling C? Like this:

u = (e^(10*t^2/2)+e^(ln(5)/3))^3; This is also incorrect i just submitted!

Thjanks!

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# Homework Help: Can't seem to figure out how to solve for C! Diff EQ question

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