Use the method of undetermined coefficients to solve the initial value problem. 33 y ==cos2t 10 33 10 y = y = Oy y = 33 8 cos2t 11 40 11 40 - - -cos2t 11 40 11 40 -sin2t + -sin2t + 1 - 4 33 cos2t+sin2t 10 11 40 -sin2t + 1 - 8 33 cos2t+sin2t + 10 3 - - 4 1834 + 2 33 y" + 4y = 1² +2e¹, y(0) = 0, y'(0) = 7 + ++ + UNAIN 4 5 4 +=e¹ 2 33 et + 2 +=e¹ 5 -1² +. > 7 Fin 5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Use the method of undetermined coefficients to solve the initial value problem.
33
y ==cos2t
10
33
10 cos2t
11
40
11
40
y =
y =
0 y
y =
33
8
-
-
-cos2t
11
40
11
40
-sin2t +
-sin2t +
1
33
cos2t+sin2t
10
11
40
4
1
-sin2t +
-
8 4
1
33
cos2t+sin2t +
10
-
-
3
+
y" + 4y = 1² +2e¹, y(0) = 0, y'(0) = 7
T
+
+ UNAIN
++
4 33
2
4 33
et
et
5
8 4 5
3
2
+
2
+=e¹
-1² +-
>
7
Fin
5
もち
Transcribed Image Text:Use the method of undetermined coefficients to solve the initial value problem. 33 y ==cos2t 10 33 10 cos2t 11 40 11 40 y = y = 0 y y = 33 8 - - -cos2t 11 40 11 40 -sin2t + -sin2t + 1 33 cos2t+sin2t 10 11 40 4 1 -sin2t + - 8 4 1 33 cos2t+sin2t + 10 - - 3 + y" + 4y = 1² +2e¹, y(0) = 0, y'(0) = 7 T + + UNAIN ++ 4 33 2 4 33 et et 5 8 4 5 3 2 + 2 +=e¹ -1² +- > 7 Fin 5 もち
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning