Assignment:
Q1. The roots of the auxiliary equation corresponding to a certain 12th order homogeneous linear equation with constant coefficients are:
2, 2, 2, 2, 2, 2, 1, 4, 3+4i, 3-4i, 2+5i, 2-5i
Write the general solution.
Q2. Find the general solution to y"- y= x3 + 2x2 - x + 5
Q3. Solve y' = y(xy3 -1)
Provide complete and step by step solution for the question and show calculations and use formulas.