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anonymous
 4 years ago
Solve by Laplace transform:
\[\frac{dy}{dx}+3y=10sint\] y(0)=0
anonymous
 4 years ago
Solve by Laplace transform: \[\frac{dy}{dx}+3y=10sint\] y(0)=0

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[sY  0+3Y = \frac{10}{s^2+1}\]\[Y = \frac{10}{(s^2+1)(s+3)}\]\[\frac{As+B}{s^2+1}+\frac{C}{s+3}=\frac{10}{(s^2+1)(s+3)}\] A +C = 0 (1) 3A +B =0 (2) 3B+C =10 (3) (3)  (1) = 3BA = 10 (4) Solve (2) and (4): A = 1 B =3 C = A = 1 \[Y = \frac{s+3}{s^2+1}+\frac{1}{s+3}=\frac{s}{s^2+1}+\frac{3}{s^2+1}+\frac{1}{s+3}\]\[y=cost + 3sint + e^{3t}\] ......

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ha! That smiley face helps :D
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