Match the following guess solutions ypyp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x)=Ax2+Bx+Cyp(x)=Ax2+Bx+C,
B. yp(x)=Ae2xyp(x)=Ae2x,
C. yp(x)=Acos2x+Bsin2xyp(x)=Acos⁡2x+Bs in⁡2x,
D. yp(x)=(Ax+B)cos2x+(Cx+D)sin2xyp(x)= (Ax+B)cos⁡2x+(Cx+D)sin⁡2x
E. yp(x)=Axe2x, yp(x)=Axe2x, and
F. yp(x)=e3x(Acos2x+Bsin2x)yp(x)=e3x(A cos⁡2x+Bsin⁡2x)
1. d2ydx2−5dydx+6y=e2xd2ydx2−5dydx+6y= e2x
2. d2ydx2+4y=−3x2+2x+3d2ydx2+4y=−3x2+2 x+3
3. y′′+4y′+20y=−3sin2xy″+4y′+20y=−3sin ⁡2x
4. y′′−2y′−15y=e3xcos2x