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27. dy dt dy -y², y(0) = 1/2 28. =t²y³, y(0) = -1 dy dt dy

27. dy dt dy -y², y(0) = 1/2 28. =t²y³, y(0) = -1 dy dt dy

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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HELP ASAPPPP!!!! #27,#28

In Exercises 25-38, solve the given initial-value problem. dx dy 25. =−xt, x(0) =1/V 26. =ty, dt dt y(0) = 1/2 y(0) = 0 27. dy dt dy dt 35. 37. 29. == =-y², dy 31. = 2y + 1, y(0) = 3 dt = dx 33. = dt dy dt =-y², dy dt t² x + 1³x² x (0) = -2 = (y² + 1)t, y(0) = 1 = 2ty² + 3t²y², y(1) = −1 = 28. 30. 32. dy dt dy dt 38. dy dt dy dt 34. = =t²y³, y(0) dy 36. = dt dy dt t y- - t²y' =ty² + 2y², y(0) = 1 y (0) = 3 = 1 - y² y 1 2y+3' y² +5 y =-1 " y (0) = 4 y (0) = -2 y (0) = 1 y (0) = -2
Transcribed Image Text:In Exercises 25-38, solve the given initial-value problem. dx dy 25. =−xt, x(0) =1/V 26. =ty, dt dt y(0) = 1/2 y(0) = 0 27. dy dt dy dt 35. 37. 29. == =-y², dy 31. = 2y + 1, y(0) = 3 dt = dx 33. = dt dy dt =-y², dy dt t² x + 1³x² x (0) = -2 = (y² + 1)t, y(0) = 1 = 2ty² + 3t²y², y(1) = −1 = 28. 30. 32. dy dt dy dt 38. dy dt dy dt 34. = =t²y³, y(0) dy 36. = dt dy dt t y- - t²y' =ty² + 2y², y(0) = 1 y (0) = 3 = 1 - y² y 1 2y+3' y² +5 y =-1 " y (0) = 4 y (0) = -2 y (0) = 1 y (0) = -2
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