Solve the following Differential Equations (a) (4D – 8D³ – 7D² + 11D +6)y = 0. Ans : y = ce-* + cze2r + €3e%z + c4e-= (b) (D³ +6D² + 12D + 8)y = 0, y(0) = 0, y(0) = 0, y"(0) = 2. Ans y = r'e-2z %3D %3D (c) y" + 6y" + 11ly + 6y = 0, y(0) = 0, y(0) = 1, y"(0) = -1. Ans y = 2e-- 3e-2 +e-3
Solve the following Differential Equations (a) (4D – 8D³ – 7D² + 11D +6)y = 0. Ans : y = ce-* + cze2r + €3e%z + c4e-= (b) (D³ +6D² + 12D + 8)y = 0, y(0) = 0, y(0) = 0, y"(0) = 2. Ans y = r'e-2z %3D %3D (c) y" + 6y" + 11ly + 6y = 0, y(0) = 0, y(0) = 1, y"(0) = -1. Ans y = 2e-- 3e-2 +e-3
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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