Need HELP! Calculus / Differential Equations

I know that this is not the right forum but who knows?! Maybe we have a bunch on math majors up in here. This problem needs to be solved by "Separation of variables" very common technique for solving differential equations. Here it is...

y'(t) = ty^2+t

this is how far I have gotten but I am not sure if it is right...dy/y^2 = (t+t)dt

Any help will be appreciated thanks

i would help if i still remember this. but i forgot it when i walked out of the room after the test. good luck

get a TI-89 calculator, it can differnciate and integrate

^^^^^ Just because it gives you the answer doesnt mean it tells you how to solve it.

Originally posted by Numbskull



get a TI-89 calculator, it can differnciate and integrate

I know they are the best, BUT I have to show the work.

Allen, I know the feeling. If it wasn't for my good short term memory...I would have failed in High School and college

I could be wrong, Im in calculus this semester but wouldnt you have to factor out the t so that y'(t)=t(y^2+1)then dy/(y^2+1)=t dt

then you could easily integrate those values

I think is more work, but I am doing it that way too. I will let you see what I get.

I just transferred into Mechanical Engineering and we are just now getting into multiple variable integration and differentiation. My short term memory is really good too lol. Long term is another story.

Edited: 11/30/2008 9:33:07 PM by Layumon22s

Edited: 11/30/2008 9:14:28 PM by Layumon22s

i'll take you through step by step from what I can remember

initial equation:dy/dt = ty^2 + t

multiple each side by dt and seperate out the t from the right side of the equationdy = t*dt*(y^2+1)

divide each side by y^2+1(1/(y^2+1))*dy = tdt

integrate each side to get your answerarctan(y) = t^2/2

can't gurantee its right but looks pretty damn good to me