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Find the solution to the following differential equa tion: d²y dt2 dy +3- dt + 2y = e-t y(0) = 0, y(0) = 1 (a) y(t) = te-tu(t) (b) y(t) = (2et − 1) u(t) (c) y(t) = (te−t + e−²t) u(t) (d) y(t) = et cos(t)u(t) (e) none of the above

Find the solution to the following differential equa tion: d²y dt2 dy +3- dt + 2y = e-t y(0) = 0, y(0) = 1 (a) y(t) = te-tu(t) (b) y(t) = (2et − 1) u(t) (c) y(t) = (te−t + e−²t) u(t) (d) y(t) = et cos(t)u(t) (e) none of the above

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Need help finding the solution to the differential equation.

Find the solution to the following differential equa- tion: d²y dt² dy + 3 + 2y dt + 2y =e¯t_y(0) = 0, y(0) = 1 (a) y(t) = te-tu(t) (b) y(t) = (2et − 1) u(t) (c) y(t) = (te−t + e−²t) u(t) (d) y(t) = et cos(t)u(t) (e) none of the above
Transcribed Image Text:Find the solution to the following differential equa- tion: d²y dt² dy + 3 + 2y dt + 2y =e¯t_y(0) = 0, y(0) = 1 (a) y(t) = te-tu(t) (b) y(t) = (2et − 1) u(t) (c) y(t) = (te−t + e−²t) u(t) (d) y(t) = et cos(t)u(t) (e) none of the above
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