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)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
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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