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- A 4 kg mass is placed at the end of a vertical spring. The spring is stretched 4.9 meters until equilibrium is reached. There is no damping and the mass is initially at the equilibrium height with zero initial velocity. Find the motion if the external force is (a) cos3t (b) cos(t*√2). In each case find the quasi-period of the solution.
- Find the radius of convergence of each series
3. Find a series solution of y’=-xy. Also, solve the equation compare your solution with the series you got.
4. Find 2 series solutions of (1-x²)y»-2xy’+6y=0.