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In Problems 25-36 solve the given initial-value problem. Give the largest interval I over which the solution is defined. dy 25. = x + 5y, y(0) – 3 dx dy dx 27. xy' + y = e¹, _y(1) = 2 dx 26. 28. y - dy 2x 3y, y(0) - // x = 2y², y(1) = 5

In Problems 25-36 solve the given initial-value problem. Give the largest interval I over which the solution is defined. dy 25. = x + 5y, y(0) – 3 dx dy dx 27. xy' + y = e¹, _y(1) = 2 dx 26. 28. y - dy 2x 3y, y(0) - // x = 2y², y(1) = 5

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve 25 and 28

In Problems 25-36 solve the given initial-value problem. Give the largest interval / over which the solution is defined. dy 25. = x + 5y, y(0) = 3 dx 26. dy dx 28. y 27. xy' + y = et, y(1) = 2 dx 29. L 30. - dy 2x 3y, y(0) - // dT dt x = 2y², y(1) = 5 di + Ri - E, i(0)io, L, R, E, in constants dt =k(T-Tm), T(0) To, k, Tm, To constants dy 31. x + y-4x+1, y(1) - 8 dx 32. y' + 4xy = x³e", y(0) = -1 dy 33. (x + 1) + y =lnx, y(1) = 10 dx dy 34. x(x + 1)+ xy = 1, y(e) = 1 dx 35. y' (sin x)y - 2 sin x, 36. y' + (tan x)y = cos²x, y(π/2) - 1 y(0) = −1
Transcribed Image Text:In Problems 25-36 solve the given initial-value problem. Give the largest interval / over which the solution is defined. dy 25. = x + 5y, y(0) = 3 dx 26. dy dx 28. y 27. xy' + y = et, y(1) = 2 dx 29. L 30. - dy 2x 3y, y(0) - // dT dt x = 2y², y(1) = 5 di + Ri - E, i(0)io, L, R, E, in constants dt =k(T-Tm), T(0) To, k, Tm, To constants dy 31. x + y-4x+1, y(1) - 8 dx 32. y' + 4xy = x³e", y(0) = -1 dy 33. (x + 1) + y =lnx, y(1) = 10 dx dy 34. x(x + 1)+ xy = 1, y(e) = 1 dx 35. y' (sin x)y - 2 sin x, 36. y' + (tan x)y = cos²x, y(π/2) - 1 y(0) = −1
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