Hey guys completely lost how to do this. I'd appreciate any help or any website that may help with it.

1. Solve the equation y'' + w^2.y = 0 by making the Ansatz y=m.e^f.t where m and f are some constants. Verify the solution to the harmonic motion can be expressed in any of the following three forms,

y(t) =B1e^iwt+B2e^-iwt

=C1Sinwt+C2Coswt

=ASin(wt+theta)

2. A Robot is programmed so that the particle P of Mass m, describes the path

r= α-βcos(2πt)

Theta=μ-vsin(2πt)

where alpha, beta, mu and v are positive constants. Determine the polar components of force exerted on p by the robots Jaws at time t=2s