Heys I was wondering if anyone could guide me through this question:
Let a be a real number. Find the general solution of the differential equation.
y''' + y'' = a
Thanks
You could then assume a particular solution of the form:
$\displaystyle y_p(x)=x^s(A)$
Where the natural number s is chosen to be the smallest value so that no term in the particular solution is a solution to the corresponding homogeneous equation. Hence, let:
$\displaystyle y_p(x)=Ax^2$
and use the method of undetermined coefficients to determine A.