28. 2y (3)-y"-5y' - 2y = 0 29. y(3)+27y=0
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Can anyone help me with #28 33 and 38 please
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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