3. Find the general solution of the non-homogeneous equations. (a) y" + 3y = -9 (b) y" + 2y' - y = 10 (c) y" - y' +9y = 3 sin(3t)

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Chapter2: Second-order Linear Odes
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Do question 3 only need parts a, b, and c. Instructions are given in the image.

3. Find the general solution of the non-homogeneous equations.
(a) y" + 3y = −9
(b) y" + 2y' - y = 10
(c) y" — y' +9y = 3 sin(3t)
(d) 4y" + 11y' - 3y = −2te¯
(e) y" + 2y' + 4y = 111e²t cos(3t)
Transcribed Image Text:3. Find the general solution of the non-homogeneous equations. (a) y" + 3y = −9 (b) y" + 2y' - y = 10 (c) y" — y' +9y = 3 sin(3t) (d) 4y" + 11y' - 3y = −2te¯ (e) y" + 2y' + 4y = 111e²t cos(3t)
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