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Problem 1. Solve the following IVPS using LT method. 1) y" – 10y' + 25y = 8e-2", y(0) = 1, y'(0) = -4; | 2) y" – 10y' + 25y = 24te-2", y(0) = -2, y'(0) = -10; 3) y" + 16y = 1, y(0) = 1, y'(0) = 2; %3D 4) y – 4y = 8u(t – 3), y(0) = 2; 5) y" – 2y' + y = 8(t – 1) y(0) = 3, y(0) = -4.

Problem 1. Solve the following IVPS using LT method. 1) y" – 10y' + 25y = 8e-2", y(0) = 1, y'(0) = -4; | 2) y" – 10y' + 25y = 24te-2", y(0) = -2, y'(0) = -10; 3) y" + 16y = 1, y(0) = 1, y'(0) = 2; %3D 4) y – 4y = 8u(t – 3), y(0) = 2; 5) y" – 2y' + y = 8(t – 1) y(0) = 3, y(0) = -4.

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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Problem 1. Solve the following IVPS using LT method. 1) y" – 10y' + 25y %3D 8e -2", у(0) - y(0) = 1, y'(0) = -4; 2) y" – 10y' + 25y = 24te-2t, y(0) = –2, y'(0) = –10; 3) y" + 16y = 1, y(0) = 1, y'(0) = 2; 4) y' – 4y = 8u(t – 3), y(0) = 2; 5) y" – 2y' + y = 8(t – 1) y(0) = 3, y'(0) = -4.
Transcribed Image Text:Problem 1. Solve the following IVPS using LT method. 1) y" – 10y' + 25y %3D 8e -2", у(0) - y(0) = 1, y'(0) = -4; 2) y" – 10y' + 25y = 24te-2t, y(0) = –2, y'(0) = –10; 3) y" + 16y = 1, y(0) = 1, y'(0) = 2; 4) y' – 4y = 8u(t – 3), y(0) = 2; 5) y" – 2y' + y = 8(t – 1) y(0) = 3, y'(0) = -4.
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