Question

Find a particular solution to $y'' + 6y' + 8y = -15te^{3t}$. y_p = (-3/7)te^(3t) + (36/1225)e^(3t) 

          Find a particular solution to
$y'' + 6y' + 8y = -15te^{3t}$.
y_p = (-3/7)te^(3t) + (36/1225)e^(3t)
Find a particular solution to y” + 6y' + 8y = -15te^3t. yp = (-3/7)te^(3t) + (36/1225)e^(3t)

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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i have the right approach, something is off with my coefficients, an help appreciated Find a particular solution to +6y+8y=-15te3 yp= -3/7)te^3t+36/1225e^3t
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Transcript

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00:01 The given equation is y double dash plus 4y equal to 16 sin of 2t.
00:08 Now the auxiliary equation will become r square plus 4r equal to 0 which implies that r equal to 2i and minus 2i.
00:17 So the particular solution yp is given as at cos of 2t 2t plus bt sin of 2t.
00:30 Differentiating with respect to t we get y dash of p yp dash equal to a cos of t cos of 2t minus 2at sin of 2t plus b sin of 2t plus 2bt cos 2t which is equal to minus 4a sin 2t minus 4at cos of 2t plus 4b cos of 2t minus 4bt sin of 2t...
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