Match the following guess solutions y_p for the * method of undetermined coefficients* with the second-order nonhomogeneous linear equations below.
** A. ** \displaystyle y_p(x) = Ax^2+Bx+C ,
** B. ** \displaystyle y_p(x) = Ae^{2 x} ,
** C. ** \displaystyle y_p(x) = A \cos 2 x + B \sin 2 x ,

** D. ** \displaystyle y_p(x) = (Ax + B)\cos 2 x + (Cx+D)\sin 2 x
** E. ** \displaystyle y_p(x) = A x e^{2 x},
and
** F. ** \displaystyle y_p(x) = e^{3x}(A \cos 2 x + B \sin 2 x)

** 1. ** \displaystyle \frac{d^2y}{dx^2}+4y=x-\frac{x^2}{20}

** 2. **

** 3. **

** 4. **

In order to get credit for this problem all answers must be correct.