All numerical angles(phases) should be given in radian angles (not degrees). Given the differential equatic y" + 9y + 18y = 6cos(6t + 0.785398)u(t). a. Find the functional form of the complementary solution, Ye(t). Ye(t) = (C1e^(-3t)+C2e^(-6t))u(t) help (formulas) b. Find the particular solution, Yp(t). Yp(t) = .105cos(6t-1.107148881)u(t) help (formulas) C. Find the total solution, y(t) for the initial condition y(0) = 7 and y' (0) = 10. y(t) %3D help (formulas) %3D Note the answers are checked to an absolute accuracy of 0.01. part a and b are correct solve for part c.
All numerical angles(phases) should be given in radian angles (not degrees). Given the differential equatic y" + 9y + 18y = 6cos(6t + 0.785398)u(t). a. Find the functional form of the complementary solution, Ye(t). Ye(t) = (C1e^(-3t)+C2e^(-6t))u(t) help (formulas) b. Find the particular solution, Yp(t). Yp(t) = .105cos(6t-1.107148881)u(t) help (formulas) C. Find the total solution, y(t) for the initial condition y(0) = 7 and y' (0) = 10. y(t) %3D help (formulas) %3D Note the answers are checked to an absolute accuracy of 0.01. part a and b are correct solve for part c.
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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Transcribed Image Text:All numerical angles(phases) should be given in radian angles (not degrees). Given the differential equatic
y" +9y + 18y = 6cos(6t + 0.785398)u(t).
a. Find the functional form of the complementary solution, ye(t).
Ye(t) = (C1e^(-31)+C2e^(-6t))u(t)
help (formulas)
%3D
b. Find the particular solution, Yp(t).
Yp(t) = .105cos(6t-1.107148881)u(t)
help (formulas)
%3D
c. Find the total solution, y(t) for the initial condition y(0) = 7 and y' (0) = 10.
%3D
y(t) = |
help (formulas)
Note the answers are checked to an absolute accuracy of 0.01.
part a and b are correct solve for part c.
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