WeBWorK Standalone Renderer

Find a particular solution to the nonhomogeneous differential equation $y^{\,\prime\prime} + 4 y = \cos(2 x) + \sin(2 x)$ .

$y_p =$ help (formulas)

Find the most general solution to the associated homogeneous differential equation. Use $c_1$ and $c_2$ in your answer to denote arbitrary constants. Enter $c_1$ as c1 and $c_2$ as c2.

$y_h =$ help (formulas)

Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions $y(0) = 6$ and $y^{\,\prime}(0) = 1$ .

$y =$ help (formulas)