(a) Solve the linear, homogeneous, ODE: y′′′ + y′′ + 3y′ − 5y = 0.   (b) Prove that your answer from part (a) forms a basis for the solution space and write the general solution in the form y = c1y1 + c2y2 + c3y3, where y1, y2, and y3 are basis elements for the solution space.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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(a) Solve the linear, homogeneous, ODE:

y′′′ + y′′ + 3y′ − 5y = 0.

 

(b) Prove that your answer from part (a) forms a basis for the solution space

and write the general solution in the form y = c1y1 + c2y2 + c3y3, where y1,

y2, and y3 are basis elements for the solution space.

 

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