Find the fundamental set of solutions for the differential equation L[y] = y″ − 11y' + 30y = 0 and initial point to = 0 that also satisfies yı(to) = 1, y₁(to) = 0, y2(to) = 0, and y₂(to) = 1. y₁(t) Y₂(t) = =
Find the fundamental set of solutions for the differential equation L[y] = y″ − 11y' + 30y = 0 and initial point to = 0 that also satisfies yı(to) = 1, y₁(to) = 0, y2(to) = 0, and y₂(to) = 1. y₁(t) Y₂(t) = =
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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![Find the fundamental set of solutions for the differential equation
L[y] = y" — 11y' + 30y = 0 and initial point to
0 and initial point to = 0 that also satisfies
yı(to) = 1, y₁(to) = 0, y2(to) = 0, and y₂(to) = 1.
y₁(t):
Y₂(t)
=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7193c76d-8bcc-460a-8266-e4f67312dd55%2Fa57fa5d3-4d77-4666-bdff-96339d2db976%2Fpi2snvb_processed.png&w=3840&q=75)
Transcribed Image Text:Find the fundamental set of solutions for the differential equation
L[y] = y" — 11y' + 30y = 0 and initial point to
0 and initial point to = 0 that also satisfies
yı(to) = 1, y₁(to) = 0, y2(to) = 0, and y₂(to) = 1.
y₁(t):
Y₂(t)
=
=
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