1. Consider the 2nd order, linear, nonhomogeneous diff. eqn. of the form y" + p(x)y' + g(x)y = f(x), and the associated homogeneous differential equation y" + p(x)y' + g(x)y = 0. Let yh(x) be the general solution of the homogeneous equaiton (2). Find the form of the particular solution yp(x) for differential equations below, where yh(x) and f(x) are given. DO NOT actually determine the coefficients. (a) yh(x) = C cos(2x) + c sin(2x) (b) yh(x) = cex + ce and f(x)=rer sin(x) and f(x) = et + e + x + 1 (1) (2)