you are correct in that dv/dt = 0
v = k1
Then
v = dy/dt = k1
y = k1 *t + k2
Convert the second order equation
into a first order system using:
Then find the general solution for equation then sub the solution into the equation and find the solution of the system.
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I'm not really sure with this but
so
Then I have no idea. Some help would be very appreciated.