y" – y" – 6y = 0 = () A) Verify that yı = 5, y2 = e-2x and y3 = e* are solutions of the DE. %3D B) Show that yı, y2 and y3 form a fundamental set of solution of the DE. Write the general solution.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 25EQ
icon
Related questions
Question
Consider the DE
y" – y" – 6y = 0
A) Verify that yı = 5, y2 = e-2x and
e3x are solutions of the DE.
Y3 =
B) Show that y1, y2 and y3 form a
fundamental set of solution of the DE. Write
the general solution.
Transcribed Image Text:Consider the DE y" – y" – 6y = 0 A) Verify that yı = 5, y2 = e-2x and e3x are solutions of the DE. Y3 = B) Show that y1, y2 and y3 form a fundamental set of solution of the DE. Write the general solution.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning