Match the following guess solutions ypfor the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. a. yp(x)=ax2+bx+c, b. yp(x)=ae2x, c. yp(x)=acos2x+bsin2x, d. yp(x)=(ax+b)cos2x+(cx+d)sin2x e. yp(x)=axe2x, and f. yp(x)=e3x(acos2x+bsin2x)1.equation editorequation editord2ydx2−5dydx+6y=e2x2.equation editorequation editord2ydx2+4y=−3x2+2x+33.equation editorequation editory′′+4y′+20y=−3sin2x4.equation editorequation editory′′−2y′−15y=3xcos2x