nsider the /" + 9y = 40eX; y(0) = 5, y'(0) = -2. Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution. Find the general solution. A) y (x) = 4e*+ cos3x – 2sin3x A y(t) = cosh at B У (х) = 40e*+ 2cos3x – 2sin3x (B y(t) = sinh at у (x) = 4e + cos2x – 2sin2x y(t) = sin at 3x у (х) %3D 2е + cos3x – 4sin3x (D y(t) = cos at
nsider the /" + 9y = 40eX; y(0) = 5, y'(0) = -2. Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution. Find the general solution. A) y (x) = 4e*+ cos3x – 2sin3x A y(t) = cosh at B У (х) = 40e*+ 2cos3x – 2sin3x (B y(t) = sinh at у (x) = 4e + cos2x – 2sin2x y(t) = sin at 3x у (х) %3D 2е + cos3x – 4sin3x (D y(t) = cos at
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the IVP:
y" + 9y = 40e*; y(0) = 5, y'(0) = -2.
Consider the following IVP:
y"+a?y = 0; y(0) = 1, y'(0) = 0
Find the general solution.
Find the general solution.
A
y (x) = 4e*+ cos3x – 2sin3x
(A y(t) = cosh at
B
y (x) = 40e*+ 2cos3x – 2sin3x
B y(t) = sinh at
= 4e + cos2x – 2sin2x
-X
у (х)
y(t) = sin at
y (x) = 2e*+ cos3x – 4sin3x
y(t) = cos at](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfa77ac3-c7d3-40a1-854d-8c07ce1b51ac%2F273b0631-8c13-449a-ae88-17375aaa2a23%2Flmjttc_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the IVP:
y" + 9y = 40e*; y(0) = 5, y'(0) = -2.
Consider the following IVP:
y"+a?y = 0; y(0) = 1, y'(0) = 0
Find the general solution.
Find the general solution.
A
y (x) = 4e*+ cos3x – 2sin3x
(A y(t) = cosh at
B
y (x) = 40e*+ 2cos3x – 2sin3x
B y(t) = sinh at
= 4e + cos2x – 2sin2x
-X
у (х)
y(t) = sin at
y (x) = 2e*+ cos3x – 4sin3x
y(t) = cos at
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