Looking for some help with this. It falls under superposition and undetermined coeffiients.
y" + 4y = sint - cost
I got
1/3sint - 1/3cost
just wanted to see if im getting this right
thnx
2007-06-25 13:42:42 · 2 answers · asked by The Dude 3 in Science & Mathematics ➔ Mathematics
nonhomogeneous equation.
2007-06-25 13:53:14 · update #1
y=1/3sint - 1/3cost is a particular solution to the nonhomogeneous equation. To get the general solution to the nonhomogeneous equation, you must add the general solution to the associated homogeneous equation y''+4y=0.
This is y=k1sin(2x)+k2cos(2x).
The final general solution is:
y=k1sin(2x)+k2cos(2x)+1/3sint - 1/3cost
2007-06-25 16:02:38 · answer #1 · answered by Anonymous · 0⤊ 0⤋
is this a differential equation you are trying to solve? If so, your answer is wrong.
2007-06-25 20:48:34 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋