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...
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...