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Please answer the following question attached below; Information; homogeneous, second order ODE d²y dy dt2 +3 +2y=0. dt Please find the following from information below; 1) Given the trial solution y = et, find a general solution to equation above 2) solve initial value problem y'(0) = -4 and y(0) = 7 3) Find general solution for the homogeneous 2nd order ode below d²y dy +3 dt² dt + 2 y = 10 cos(3t) + 50 sin(3t).

Please answer the following question attached below; Information; homogeneous, second order ODE d²y dy dt2 +3 +2y=0. dt Please find the following from information below; 1) Given the trial solution y = et, find a general solution to equation above 2) solve initial value problem y'(0) = -4 and y(0) = 7 3) Find general solution for the homogeneous 2nd order ode below d²y dy +3 dt² dt + 2 y = 10 cos(3t) + 50 sin(3t).

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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Aaaba Please answer the following question attached below; Information; homogeneous, second order ODE d²y dy dt² +3 + 2y = 0. dt Please find the following from information below; 1) Given the trial solution y = et, find a general solution to equation above 2) solve initial value problem y'(0) = -4 and y(0) = 7 3) Find general solution for the homogeneous 2nd order ode below d²y dy dt² dt +3- +2y= 10 cos(3t) + 50 sin(3t).
Transcribed Image Text:Aaaba Please answer the following question attached below; Information; homogeneous, second order ODE d²y dy dt² +3 + 2y = 0. dt Please find the following from information below; 1) Given the trial solution y = et, find a general solution to equation above 2) solve initial value problem y'(0) = -4 and y(0) = 7 3) Find general solution for the homogeneous 2nd order ode below d²y dy dt² dt +3- +2y= 10 cos(3t) + 50 sin(3t).
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