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2 Solve the following differential equation: 2.1 y" + y' = 0, y(0) = 1 and y'(0) = -2. 2.2 y" + 4y' + 4y = 0, y(0) =1 and y'(0) = 1. %3D 3 Use Laplace transforms to solve the differential equation: 3.1 y" + y' = 0, y(0) = 1 and y'(0) = –2. 3.2 y" – 2y' + 5 = -8e¬*, y(0) = 2 and y'(0) = 12.

2 Solve the following differential equation: 2.1 y" + y' = 0, y(0) = 1 and y'(0) = -2. 2.2 y" + 4y' + 4y = 0, y(0) =1 and y'(0) = 1. %3D 3 Use Laplace transforms to solve the differential equation: 3.1 y" + y' = 0, y(0) = 1 and y'(0) = –2. 3.2 y" – 2y' + 5 = -8e¬*, y(0) = 2 and y'(0) = 12.

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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2 Solve the following differential equation: 2.1 y" + y' = 0, y(0) = 1 and y' (0) = -2. 2.2 y" + 4y' + 4y = 0, y(0) = 1 and y'(0) = 1. Use Laplace transforms to solve the differential equation: 3.1 y" + y' = 0, y(0) = 1 and y'(0) = -2. 3.2 y" – 2y' + 5 = -8e-*, y(0) = 2 and y'(0) = 12.
Transcribed Image Text:2 Solve the following differential equation: 2.1 y" + y' = 0, y(0) = 1 and y' (0) = -2. 2.2 y" + 4y' + 4y = 0, y(0) = 1 and y'(0) = 1. Use Laplace transforms to solve the differential equation: 3.1 y" + y' = 0, y(0) = 1 and y'(0) = -2. 3.2 y" – 2y' + 5 = -8e-*, y(0) = 2 and y'(0) = 12.
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