Determine the full solution of the ordinary differential equation (ODE) given below. The usual form of the particular solution is provided as help. *(t) + 2x(t) + 4x(t) = cos(2t), Initial conditions: x(0) = 0, x(0) = 0 Usual Form of the Particular Solution TABLE F(t) a ait + ao €at Coswt sin wt yp (1) A At + B Aeat A coswt + B sinwt Acoswt +B sin wt

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.CR: Chapter 11 Review
Problem 1CR
icon
Related questions
Question
100%
Determine the full solution of the ordinary differential equation (ODE) given below. The
usual form of the particular solution is provided as help.
cos(2t), Initial conditions: x(0) = 0,
ä(t) + 2x(t) + 4x(t) =
=
TABLE
F(t)
a
ait + αo
€at
Coswt
sin wt
Usual Form of the
Particular Solution
Yp(t)
A
At + B
Aeat
Acoswt +B sin wt
Acoswt +B sin wt
x (0) = 0
Transcribed Image Text:Determine the full solution of the ordinary differential equation (ODE) given below. The usual form of the particular solution is provided as help. cos(2t), Initial conditions: x(0) = 0, ä(t) + 2x(t) + 4x(t) = = TABLE F(t) a ait + αo €at Coswt sin wt Usual Form of the Particular Solution Yp(t) A At + B Aeat Acoswt +B sin wt Acoswt +B sin wt x (0) = 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
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,