25. y = x² sin“ x + x -2 = x* sin' x + x cos

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
25. y = x² sin“ x + x cos x
1
26. У
sin * x –
cos x
-1
1
27. y = (3x – 2)7 + (4 -
2r2
|
28. y = (5 – 2x) 3 + +1)
|(? - 1)
29. y = (4x + 3)(x + 1)3
30. y = (2x – 5)'(x² – 5x)*
-
|
31. h(x) = x tan (2Vx) + 7
32. k(x) = x sec
34. gi) - (c)"
sin 0
1 + cos t
33. f(0) =
1 + cos 0
sin t
35. r = sin (6) cos (20)
36. r = sec Ve tan (
sin
sin t
37. q = sin
38. q = cot
In Exercises 39-48, find dy/dt.
39. y = sin? (7t - 2)
40. y = sec- mt
|
41. y = (1 + cos 2t)
42. y = (1 + cot(t/2))
Transcribed Image Text:25. y = x² sin“ x + x cos x 1 26. У sin * x – cos x -1 1 27. y = (3x – 2)7 + (4 - 2r2 | 28. y = (5 – 2x) 3 + +1) |(? - 1) 29. y = (4x + 3)(x + 1)3 30. y = (2x – 5)'(x² – 5x)* - | 31. h(x) = x tan (2Vx) + 7 32. k(x) = x sec 34. gi) - (c)" sin 0 1 + cos t 33. f(0) = 1 + cos 0 sin t 35. r = sin (6) cos (20) 36. r = sec Ve tan ( sin sin t 37. q = sin 38. q = cot In Exercises 39-48, find dy/dt. 39. y = sin? (7t - 2) 40. y = sec- mt | 41. y = (1 + cos 2t) 42. y = (1 + cot(t/2))
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