Solve a 2nd order ODE.
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Use methods of undetermined coefficients to find one solution of:
y'' + 2y' +2y =
(10t+7)e^(-t)cos(t)+(11t+25)e^(-t)sin(t)
https://brainmass.com/math/ordinary-differential-equations/solve-2nd-order-ode-27369
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.
$2.49