2. Given that 1, sin (5x) , and cos(5x ) are three linearly independent solutions to the differential equation y" + 25y' =0 a. Write the general solution of the equation. You do not need to justify your answer with computations. (10 points) 3 63 b. If yp = 1768 e-* sin (3x ) - 1768 e"* cos (3x) is a particular solution of y" + 25y' = 3e * sin(3x), write the general solution of this equation. Again, you do not need to justify your answer with computations. (10 points)