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...
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage