Author: Jocelyn Nacimba (Page 2 of 6)

To solve this problem, I would first write out the homogenous equation allowing me to notice that it is a second order differential equation. To find y1 and y2, I would write out the characteristic equation, solve for r and use those values to find out which case it is so I know what y1 and y2 should be. Next, to find the particular solution, Yp, I would use the variations of parameters method to find u1 and u2 which are mystery functions and use that to construct Yp. Finally, to determine the general solution I would put together Yp plus the solution the homogeneous equation which is c1y1 + c2y2 making y = Yp + c1y1 + c2y2.