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yaro99

  • one year ago

Transient solution y''+3y'+3.25y=3cos(t)-1.5sin(t) I know the homogeneous solution but I got the wrong numbers for the particular solution. Here's what I tried: http://latex.codecogs.com/gif.latex?\dpi{200}%20y_p=a_1\cos%20t+b_1\sin%20t+a_2\cos%20t+b_2\sin%20t=(a_1+a_2)\cos%20t+(b_1+b_2)\sin%20t%20\\%20a_1=(F_0)_1*\frac{m(\omega_0^2-\omega_1^2)}{m^2*(\omega_0^2-\omega_1^2)^2+\omega_1^2c^2}%20\\%20\\%20b_2=(F_0)_1*\frac{\omega_1c}{m^2*(\omega_0^2-\omega_1^2)^2+\omega_1^2c^2}%20\\%20\\similarly%20\;for\;%20a_2\;and\;b_2\;using\;%20(F_0)_2\;%20and\;%20\omega_2

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  1. yaro99
    • one year ago
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    ^Didn't know it would come out like that, you gotta copy and paste the whole link.

  2. yaro99
    • one year ago
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    Third line should say b_1, not b_2

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