Basically I don't have any idea about what method I should use to solve this DE...I've tried several ways but they don't seem to work
Follow Math Help Forum on Facebook and Google+
Originally Posted by Naples Basically I don't have any idea about what method I should use to solve this DE...I've tried several ways but they don't seem to work Use the substition This reduces the ODE to the first order separable ODE Can you finish from here?
So..?
Originally Posted by Naples So..? Not quite. Unless you have some inital conditons I don't think this will simplify very nicely. We have But now we get
Last edited by TheEmptySet; May 8th 2011 at 06:02 PM. Reason: extra 2!
I was given the initial conditions y(0)=1 and y'(0)=1 Sorry I forgot to put them in the original post
Originally Posted by Naples I was given the initial conditions y(0)=1 and y'(0)=1 Sorry I forgot to put them in the original post Yes this is good! Now since We can use the equation above and the intial condions to get Now we just have to solve the ODE Now use the initial conditions and solve for y. The solution to this equation is not unique.
Originally Posted by Naples Yes that is correct. You can verify the solution by plugging back into the original ODE.
View Tag Cloud