- #1
mr_coffee
- 1,629
- 1
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.
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? that's 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!
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? that's 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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