(2) Find the unique solution of the second-order initial value problem.\
y" + 2y = 0, y(0) = 1, y'(0) = 2\
y=\
(3) Find the unique solution of the second-order initial value problem.\
y"-14y'+49y = 0, y(0) = 4, y'(0) = -30\
y(x) =\
The function $y_p$ is a particular solution to the specified nonhomogeneous equation. Find the unique solution satisfying the equation and the given initial conditions.\
y"-2y'+y=$8e^x$, $y_p$=4x$^2e^x$, y(0) = 7, y'(0)= -3\
y=\
(5)\
Solve the equation by the method of undetermined coefficients.\
y" - 4y' = cos x\
The solution is y =