Recent content by Danny B

Thanks a lot! You've been a great help!

Thank you. I think I got it now. My mistake was to use the principle of superposition with a non-homogeneous equation. So the general solution should be: (Considering that any difference of the particular solutions is a homogeneous solution) y_{(x)}=c_{1}(x-1)+c_{2}(x^{2}-1)+Y_{p}...

You are not missing anything. The answer IS 0. Here you have a line integral of a conservative field (you can tell it's conservative from the equality of the partial derivatives). A line integral of a conservative field will always be zero for any path that begins and ends at the same...

Here is a source that provides a nice shallow learning curve: http://tutorial.math.lamar.edu/Classes/DE/DE.aspx

Homework Statement Consider the ODE: y''+p(x)y'+q(x)y=g(x) It is given that the functions y=x^{2}, y=x and y\equiv1 are solutions of the equation. Find the general solution of the equation. Homework Equations The Attempt at a Solution Well, given the three solutions, and...