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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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