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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
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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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.
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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