Find the solution of the initial-value problem y'" — 7y" + 16y' — 112y = sec 4t, y(0) = 2, y'(0) - y₂(t) = = A fundamental set of solutions of the homogeneous equation is given by the functions: y₁(t)= eat, where a = Y3(t) = A particular solution is given by: Y(t) = [ S "(0) = 131 2 + 1 = = ½ › y″(0) ds- y₁(t) ]). y2(t) 1) · y3(t)
Find the solution of the initial-value problem y'" — 7y" + 16y' — 112y = sec 4t, y(0) = 2, y'(0) - y₂(t) = = A fundamental set of solutions of the homogeneous equation is given by the functions: y₁(t)= eat, where a = Y3(t) = A particular solution is given by: Y(t) = [ S "(0) = 131 2 + 1 = = ½ › y″(0) ds- y₁(t) ]). y2(t) 1) · y3(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 solution of the initial-value problem
2
y'" — 7y" + 16y' — 112y = sec 4t, y(0) = 2, y'(0) = ½ › y″(0)
= 1/2, 3²(0) = 131
A fundamental set of solutions of the homogeneous equation is given
by the functions:
y₁(t)= eat, where a =
y₂(t) =
=
Y3(t) =
A particular solution is given by:
Y(t)=
-
-
to
+
Therefore the solution of the initial-value problem is:
y(t)
ds- y₁(t)
]). y2(t)
]) · y3(t)
+Y(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d4b8237-e291-4619-83d2-ca86adaed2ae%2F218ee304-39d1-4176-b011-200706d7dee2%2F40h3mti_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the solution of the initial-value problem
2
y'" — 7y" + 16y' — 112y = sec 4t, y(0) = 2, y'(0) = ½ › y″(0)
= 1/2, 3²(0) = 131
A fundamental set of solutions of the homogeneous equation is given
by the functions:
y₁(t)= eat, where a =
y₂(t) =
=
Y3(t) =
A particular solution is given by:
Y(t)=
-
-
to
+
Therefore the solution of the initial-value problem is:
y(t)
ds- y₁(t)
]). y2(t)
]) · y3(t)
+Y(t)
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