Question: need help ............. 1. Consider the differential equation xy - 2y + (at 2 ) =42. (a) Verify that y1 = x sina and y2

need help .............

1. Consider the differential equation xy" - 2y + (at 2 ) =42. (a) Verify that y1 = x sina and y2 = x cos x are solutions to the corre- sponding homogeneous equation. (b) Use variation of parameters to find a particular solution to this equa- tion. (c) What is the general solution? 2. Solve y" - 3y' + 2y = sin(2x + 1) using variation of parameters

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