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In Problems 25-28 use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution. dy -3t e dt 25. x-3xy = 1; y = dx %3D

In Problems 25-28 use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution. dy -3t e dt 25. x-3xy = 1; y = dx %3D

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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d°y 24. х3. + 2r2 --+y= 12x²; dr3 dx? dx y = cxl + c2x + c3x In x+ 4x2 Dise In Problems 25-28 use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution. 43. 44. dy 25. x - 3xy = 1; y = e3x e-3t dt dx 45. dy 26. 2х — - у 3D 2х сos x; dx y = Vx Vi * cos t dt dy + xy = 10 sin x; y=-+ dx 5 10 27. x sin t dt X J1 46. dy 28.+20y 1; y e+ dt %3D
Transcribed Image Text:d°y 24. х3. + 2r2 --+y= 12x²; dr3 dx? dx y = cxl + c2x + c3x In x+ 4x2 Dise In Problems 25-28 use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution. 43. 44. dy 25. x - 3xy = 1; y = e3x e-3t dt dx 45. dy 26. 2х — - у 3D 2х сos x; dx y = Vx Vi * cos t dt dy + xy = 10 sin x; y=-+ dx 5 10 27. x sin t dt X J1 46. dy 28.+20y 1; y e+ dt %3D
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