2. Consider the nonhomogeneous linear differential equation y"(z) - v(x) - 2e" + 4 sin z (a) Find a general solution to the homogeneous equation. (b) Use the method of undetermined coefficients to...

Solve (a) please


Extracted text: 2. Consider the nonhomogeneous linear differential equation y"(z) - v(x) - 2e" + 4 sin z (a) Find a general solution to the homogeneous equation. (b) Use the method of undetermined coefficients to determine a particular solution to the non- homogeneous equation and find all coefficients. (c) From parts (a) and (b), write an expression of a general solution to the nonhomogeneous differential equation.