Find the general solution (on all of R) to the equation:
y"(x) − 5y'(x) + 6y(x) = 36x
by considering a particular integral of the form ax + b. Exhibit two linearly independent solutions to the homogeneous equation and compute their Wronskian. Find the solution to the question obeying y(0) = y0, y'(0) = y1

Question

Find the general solution (on all of R) to the equation:
y"(x) − 5y'(x) + 6y(x) = 36x 
by considering a particular integral of the form ax + b. Exhibit two linearly independent solutions to the homogeneous equation and compute their Wronskian. Find the solution to the question obeying y(0) = y0, y'(0) = y1

dumbcow · Answer

http://tutorial.math.lamar.edu/Classes/DE/NonhomogeneousDE.aspx