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RolyPoly
Group Title
Solve by Laplace transform:
\[\frac{dy}{dx}+3y=10sint\] y(0)=0
 one year ago
 one year ago
RolyPoly Group Title
Solve by Laplace transform: \[\frac{dy}{dx}+3y=10sint\] y(0)=0
 one year ago
 one year ago

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RolyPoly Group TitleBest ResponseYou've already chosen the best response.1
\[sY  0+3Y = \frac{10}{s^2+1}\]\[Y = \frac{10}{(s^2+1)(s+3)}\]\[\frac{As+B}{s^2+1}+\frac{C}{s+3}=\frac{10}{(s^2+1)(s+3)}\] 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 \[Y = \frac{s+3}{s^2+1}+\frac{1}{s+3}=\frac{s}{s^2+1}+\frac{3}{s^2+1}+\frac{1}{s+3}\]\[y=cost + 3sint + e^{3t}\] ......
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
yes, thats correct.
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.1
Ha! That smiley face helps :D
 one year ago
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