Solve the initial value problems in Problems 31 through 40. 31. y" + 4y = 2x; y(0) = 1, y'(0) = 2 32. y" + 3y' + 2y = e*; y(0) = 0, y'(0) = 3 33. y" +9y = sin 2x; y(0) = 1, y'(0) = 0 34. y" + y = cos x; y(0) = 1, y'(0) = -1 35. y" - 2y + 2y = x + 1; y(0) = 3, y'(0) = 0
Solve the initial value problems in Problems 31 through 40. 31. y" + 4y = 2x; y(0) = 1, y'(0) = 2 32. y" + 3y' + 2y = e*; y(0) = 0, y'(0) = 3 33. y" +9y = sin 2x; y(0) = 1, y'(0) = 0 34. y" + y = cos x; y(0) = 1, y'(0) = -1 35. y" - 2y + 2y = x + 1; y(0) = 3, y'(0) = 0
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Number 33 please.
![Solve the initial value problems in Problems 31 through 40.
31. y" + 4y
2x; y(0) = 1, y'(0) = 2
32. y" + 3y' + 2y = e*; y(0) = 0, y'(0) = 3
sin 2x; y(0) = 1, y'(0) = 0
33. y" +9y
=
=
34. y" + y = cos x; y(0) = 1, y'(0) = −1
35. y" - 2y' + 2y = x + 1; y(0) = 3, y'(0) = 0
36. y(4) — 4y" = x²; y(0) = y'(0) = 1, y"(0) = y
37. y(³) — 2y″ + y² = 1 + xe* ; y(0) = y'(0) = 0, y″(0) = 1
(³) (0) = −1
1 (3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44cf4428-d50c-4dc1-a095-73926c558c67%2F7ec8bc61-9732-4a07-bacc-845dcca45af5%2Fv35z4y_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the initial value problems in Problems 31 through 40.
31. y" + 4y
2x; y(0) = 1, y'(0) = 2
32. y" + 3y' + 2y = e*; y(0) = 0, y'(0) = 3
sin 2x; y(0) = 1, y'(0) = 0
33. y" +9y
=
=
34. y" + y = cos x; y(0) = 1, y'(0) = −1
35. y" - 2y' + 2y = x + 1; y(0) = 3, y'(0) = 0
36. y(4) — 4y" = x²; y(0) = y'(0) = 1, y"(0) = y
37. y(³) — 2y″ + y² = 1 + xe* ; y(0) = y'(0) = 0, y″(0) = 1
(³) (0) = −1
1 (3
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