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Fxample: Solve the ODE dy +y=1, y(0) = 0 y(t) = 1-et is the exact solution. -> Fxample: Solve the differential equation: y" y 0, y(0) = 0, y'(0) = 1 solution. → y(t) = sinh(t) is the exact Example: Solve the differential equation: y"-y'+2y=et, y(0) = 0, y'(0) = 1 Q/ What is the relationship between Laplace transform and Sumudu transform?

Fxample: Solve the ODE dy +y=1, y(0) = 0 y(t) = 1-et is the exact solution. -> Fxample: Solve the differential equation: y" y 0, y(0) = 0, y'(0) = 1 solution. → y(t) = sinh(t) is the exact Example: Solve the differential equation: y"-y'+2y=et, y(0) = 0, y'(0) = 1 Q/ What is the relationship between Laplace transform and Sumudu transform?

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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Fxample: Solve the ODE dy +y=1, y(0) = 0 y(t) = 1-et is the exact solution. -> Fxample: Solve the differential equation: y" y 0, y(0) = 0, y'(0) = 1 solution. → y(t) = sinh(t) is the exact Example: Solve the differential equation: y"-y'+2y=et, y(0) = 0, y'(0) = 1 Q/ What is the relationship between Laplace transform and Sumudu transform?
Transcribed Image Text:Fxample: Solve the ODE dy +y=1, y(0) = 0 y(t) = 1-et is the exact solution. -> Fxample: Solve the differential equation: y" y 0, y(0) = 0, y'(0) = 1 solution. → y(t) = sinh(t) is the exact Example: Solve the differential equation: y"-y'+2y=et, y(0) = 0, y'(0) = 1 Q/ What is the relationship between Laplace transform and Sumudu transform?
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