Consider the DE y"+3y" - 10y' 0 A) Verify that y, = 2, y2 = e2" and y3 = e -5z are solutions of the DE. %3D %3D B) Show that y1, 2 and y3 form a fundamental set of solution of the DE. Write the general solution.
Consider the DE y"+3y" - 10y' 0 A) Verify that y, = 2, y2 = e2" and y3 = e -5z are solutions of the DE. %3D %3D B) Show that y1, 2 and y3 form a fundamental set of solution of the DE. Write the general solution.
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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Solve both parts in 30 min
![L Consider the DE y" +3y" – 10y' 0
-5z
A) Verify that y, = 2, y2 = e2 and y3
e bz are solutions of the DE.
B) Show that y1, 2 and y3 form a fundamental set of solution of the DE. Write the general solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a6958d8-9c7a-418f-aba3-699187d345d6%2Ffaa8c446-f98b-4a41-8b3b-d51d9a58fde3%2Fhai167_processed.jpeg&w=3840&q=75)
Transcribed Image Text:L Consider the DE y" +3y" – 10y' 0
-5z
A) Verify that y, = 2, y2 = e2 and y3
e bz are solutions of the DE.
B) Show that y1, 2 and y3 form a fundamental set of solution of the DE. Write the general solution.
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