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28. 2y (3)-y"-5y' - 2y = 0 29. y(3)+27y=0

28. 2y (3)-y"-5y' - 2y = 0 29. y(3)+27y=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can anyone help me with #28 33 and 38 please

27. y(3) + 3y" - 4y = 0 28. 2y (3)-y"-5y' - 2y = 0 29. y(3) +27y=0 y(4)-y(3)+y"-3y-6y=0 30. 31. y(3) + 3y + 4y - 8y = 0 32. y(4) + y(3)-3y" - 5'-2y = 0 In Problems 33 through 36, one solution of the differential equation is given. Find the general solution. 33. y(3) + 3y"-54y = 0; y = ³x 34. 3y (3)-2y" +12y'-8y = 0; y = ²x/3 35. 6y(4) + 5y (3)+25y" + 20y + 4y = 0; y = cos 2x 36. 9y(3) + 11y" + 4y - 14y = 0; y = ex sin.x 37. Find a function y(x) such that y(4)(x) = y(3)(x) for all .x and y(0) = 18, y'(0) = 12, y"(0) = 13, and y(3) (0) = 7. 38. Solve the initial value problem (3)-5y" +100y' - 500y = 0; y (0) = 0, y'(0) = 10, "(0) = 250 5x is one particular solution of the given that y₁(x) = differential equation.
Transcribed Image Text:27. y(3) + 3y" - 4y = 0 28. 2y (3)-y"-5y' - 2y = 0 29. y(3) +27y=0 y(4)-y(3)+y"-3y-6y=0 30. 31. y(3) + 3y + 4y - 8y = 0 32. y(4) + y(3)-3y" - 5'-2y = 0 In Problems 33 through 36, one solution of the differential equation is given. Find the general solution. 33. y(3) + 3y"-54y = 0; y = ³x 34. 3y (3)-2y" +12y'-8y = 0; y = ²x/3 35. 6y(4) + 5y (3)+25y" + 20y + 4y = 0; y = cos 2x 36. 9y(3) + 11y" + 4y - 14y = 0; y = ex sin.x 37. Find a function y(x) such that y(4)(x) = y(3)(x) for all .x and y(0) = 18, y'(0) = 12, y"(0) = 13, and y(3) (0) = 7. 38. Solve the initial value problem (3)-5y" +100y' - 500y = 0; y (0) = 0, y'(0) = 10, "(0) = 250 5x is one particular solution of the given that y₁(x) = differential equation.
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