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Find the general solution of the following first order linear ODEs: 1 (a) y' + ½/y = 3 cos(2t), t > 0 (b) ty' - y = t²et, t> 0 Find the particular solution of the following equations and initial conditions: (c) y' (t) - 2y(t) = (t + 2)², y(1) = 18 (d) y' - 3y = 3t+ 2e², y(0) = yo

Find the general solution of the following first order linear ODEs: 1 (a) y' + ½/y = 3 cos(2t), t > 0 (b) ty' - y = t²et, t> 0 Find the particular solution of the following equations and initial conditions: (c) y' (t) - 2y(t) = (t + 2)², y(1) = 18 (d) y' - 3y = 3t+ 2e², y(0) = yo

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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Find the general solution of the following first order linear ODEs: 1 (a) y' + ½/y = 3 cos(2t), t > 0 (b) ty' - y = t²et, t> 0 Find the particular solution of the following equations and initial conditions: (c) y' (t) - 2y(t) = (t + 2)², y(1) = 18 (d) y' - 3y = 3t+ 2e², y(0) = yo
Transcribed Image Text:Find the general solution of the following first order linear ODEs: 1 (a) y' + ½/y = 3 cos(2t), t > 0 (b) ty' - y = t²et, t> 0 Find the particular solution of the following equations and initial conditions: (c) y' (t) - 2y(t) = (t + 2)², y(1) = 18 (d) y' - 3y = 3t+ 2e², y(0) = yo
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