Answered: A third-order homogeneous linear… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution
satisfying the given initial conditions.
y(3).
у3) + 2y"- у' - 2у%3D0%B у(0) 3 8, у' (0) - 6, у" (0) - 0;
y, = eX, y, = e
- X
Уз
= e
- 2x
...
The particular solution is y(x) =

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