In this problem, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation. Then find a particular solution of the nonhomogeneous equation that does not involve any...

0, yi(x) = 2², y2(m) = x² In z. %3D %3D %3D NOTE: Enter an exact answer. Y (x) %3D "/>
Extracted text: In this problem, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation. Then find a particular solution of the nonhomogeneous equation that does not involve any terms from the homogeneous solution. 2²y" – 3wy +4y = 31a? In a, a > 0, yi(x) = 2², y2(m) = x² In z. %3D %3D %3D NOTE: Enter an exact answer. Y (x) %3D