Find constants a and b which make the function x(t)=acos(t)+bsin(t) a solution to the differential equation d2x/dt2 - dx/dt = cos(t)
If x(t)=a cos (t) + b sin(t) is a solution to the differential equation d2x/dt2 - dx/dt = cos(t) then x(t) = a cos(t) + b sin(t) satisfied the given differential equation.
So, differentiate x(t) = a cos(t) + b sin(t) with respect to the variable (t).
Again, differentiate with respect to t:
Substitute the expression of dx/dt and d2x/dt2
In the equation d2x/dt2&...
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