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Diff Eq 3.51

 

<== Differential Equations
Number Question Answer
See the work
1.

Find a particular solution to

y'' + 8 y' + 16 y =  rac{5.5 e^{-4 t}}{t^2+1}
 
yp=
yp=-(1/[e^(4*t)])*2.75*ln((t^2)+1)+(t/[e^(4*t)])*5.5*atan(t)
The work

Point Cost: 3
2.

Find a particular solution to y'' +  16 y =  32 \sec(4 t).


yp=
yp=2*cos(4*t)*ln(|cos(4*t)|)+sin(4*t)*8*t
The work

Point Cost: 3