Consider the following IVP: Consider the IVP: x" + x = 4e; x(0) = 1, x'(0) = 3. y' = e"; y(0) = 2 Find the general solution. Find the general solution. A x(t) = 2e + sin2t – cost (A) y(t) = 1 + e' B x(t) = e'+ sinht – cost (B y (t) = -1+ e=' (© x(t) = 2e'+ sint – cost C y(t) = 1 - e- x(t) = 2e'+ cost – sint y(t) = - 1 - e' 2.
Consider the following IVP: Consider the IVP: x" + x = 4e; x(0) = 1, x'(0) = 3. y' = e"; y(0) = 2 Find the general solution. Find the general solution. A x(t) = 2e + sin2t – cost (A) y(t) = 1 + e' B x(t) = e'+ sinht – cost (B y (t) = -1+ e=' (© x(t) = 2e'+ sint – cost C y(t) = 1 - e- x(t) = 2e'+ cost – sint y(t) = - 1 - e' 2.
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:
Consider the following IVP:
x" + x = 4e; x(0) = 1, x'(0) = 3.
y' = e"; y(0) = 2
Find the general solution.
Find the general solution.
(A) x(t) = 2e+ sin2t – cost
(А) у(1) 3D 1 + e'
B
x (t) = e'+ sinht
(в
y(t) = -1+ e-
cost
x(t) =
2e'+ sint
C) y (t) = 1 - e-1
cost
(D)
2e'+ cost - sint
y(t) = - 1- e'
x(t)
=
1.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfa77ac3-c7d3-40a1-854d-8c07ce1b51ac%2Fba59ad21-4018-46df-b592-f1f1d1841425%2Ffavz22n_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the IVP:
Consider the following IVP:
x" + x = 4e; x(0) = 1, x'(0) = 3.
y' = e"; y(0) = 2
Find the general solution.
Find the general solution.
(A) x(t) = 2e+ sin2t – cost
(А) у(1) 3D 1 + e'
B
x (t) = e'+ sinht
(в
y(t) = -1+ e-
cost
x(t) =
2e'+ sint
C) y (t) = 1 - e-1
cost
(D)
2e'+ cost - sint
y(t) = - 1- e'
x(t)
=
1.
2.
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