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y" +8y' + 16y = 0 with initial conditions y(0) = 2 and y'(0) = 5 %3D Assume a trial solution of the form y(t) = C,eit + tC2e"2t and solve this differential equation (remember to calculate the value of C1 and C2). Show your calculations.

y" +8y' + 16y = 0 with initial conditions y(0) = 2 and y'(0) = 5 %3D Assume a trial solution of the form y(t) = C,eit + tC2e"2t and solve this differential equation (remember to calculate the value of C1 and C2). Show your calculations.

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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Given the following linear 2nd order ode please show all work
y" + 8y' + 16y = 0 with initial conditions y(0) = 2 and y'(0) = 5 %3D Assume a trial solution of the form y(t) = C,et + tC2e"2t and solve this differential %3D equation (remember to calculate the value of C1 and C2). Show your calculations.
Transcribed Image Text:y" + 8y' + 16y = 0 with initial conditions y(0) = 2 and y'(0) = 5 %3D Assume a trial solution of the form y(t) = C,et + tC2e"2t and solve this differential %3D equation (remember to calculate the value of C1 and C2). Show your calculations.
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