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    Solve a 2nd order ODE.

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    Use methods of undetermined coefficients to find one solution of:

    y'' + 2y' +2y =

    © BrainMass Inc. brainmass.com May 24, 2023, 1:35 pm ad1c9bdddf

    Solution Preview

    First the homogenous solution. The charac. equation is r^2+2r+2=0 which gives us:
    r= -1+i and r= -1-i, then yh= c1exp(-t)cos(t)+ c2exp(-t)sin(t).

    Now in this case the guess for the particular solution is yp= (at+b)exp(-t)cos(t)+ ...

    Solution Summary

    A 2nd order ODE is solved. The solution is detailed.