Convert the second-order equationinto a first-order system using v = dy/dt as usual.(a) Fi...

Convert the second-order equation

into a first-order system using v = dy/dt as usual.

(a) Find the general solution for the dv/dt equation.

(b) Substitute this solution into the dy/dt equation, and find the general solution of the system.

(c) Sketch the phase portrait of the system.