Can anyone help me with #28 33 and 38 please 27. y(3) + 3y" - 4y = 028. 2y (3)-y"-5y' - 2y = 029. y(3) +27y=0y(4)-y(3)+y"-3y-6y=030.31. y(3) + 3y + 4y - 8y = 032. y(4) + y(3)-3y" - 5'-2y = 0In Problems 33 through 36, one solution of the differentialequation is given. Find the general solution.33. y(3) + 3y"-54y = 0; y = ³x34. 3y (3)-2y" +12y'-8y = 0; y = ²x/335. 6y(4) + 5y (3)+25y" + 20y + 4y = 0; y = cos 2x36. 9y(3) + 11y" + 4y - 14y = 0; y = ex sin.x37. Find a function y(x) such that y(4)(x) = y(3)(x) for all .xand 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) = 2505x is one particular solution of thegiven that y₁(x) =differential equation.

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Answered: 28. 2y (3)-y"-5y' - 2y = 0 29.…

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

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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Question

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.

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