3. Suppose o1 and o2 are solution to y" + ay +by = f, where a and b are real constants and f is a continuous function on an interval I. Show that if the graph of o1 and o2 are tangent at some point, then o1 = 2. Deduce that if o is a solution and the graph of o is tangent to the t-axis, then $ = 0.
3. Suppose o1 and o2 are solution to y" + ay +by = f, where a and b are real constants and f is a continuous function on an interval I. Show that if the graph of o1 and o2 are tangent at some point, then o1 = 2. Deduce that if o is a solution and the graph of o is tangent to the t-axis, then $ = 0.
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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hand written plz
![3. Suppose ø1 and o2 are solution to y" + ay +by = f, where a and b are real constants and f is
a continuous function on an interval I. Show that if the graph of o1 and o2 are tangent at some
point, then o1 = 62. Deduce that if o is a solution and the graph of o is tangent to the t-axis, then
%3D
0 = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa23ee20d-e1b4-4b0d-af22-7248dfb5ab9e%2F58c87f5f-2299-45c2-b7b9-e5ce4c35df55%2Ferqyjjc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Suppose ø1 and o2 are solution to y" + ay +by = f, where a and b are real constants and f is
a continuous function on an interval I. Show that if the graph of o1 and o2 are tangent at some
point, then o1 = 62. Deduce that if o is a solution and the graph of o is tangent to the t-axis, then
%3D
0 = 0.
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