Solve the following differential equations using classical methods and the given initial conditions: d²x (a) +6df + 8x = 5 sin 3t, dt² d²x (b) ² + 4x=t², x(0) = 1; dt2 x(0) = 0; x'(0) = 0 x′(0) = 2
Solve the following differential equations using classical methods and the given initial conditions: d²x (a) +6df + 8x = 5 sin 3t, dt² d²x (b) ² + 4x=t², x(0) = 1; dt2 x(0) = 0; x'(0) = 0 x′(0) = 2
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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Question
![Solve the following differential equations using classical methods and the given
initial conditions:
d²x
+6df + 8x = 5 sin 3t,
dt²
(a)
(b) ²
+ 4x=t²,
x(0) = 1;
dt2
x(0) = 0; x'(0) = 0
x′(0) = 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8084a024-ebf9-4fb7-8600-c7fa04d2572b%2Fde6a2121-be3a-4732-af9e-7d71d8325b9b%2Finhbhg_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following differential equations using classical methods and the given
initial conditions:
d²x
+6df + 8x = 5 sin 3t,
dt²
(a)
(b) ²
+ 4x=t²,
x(0) = 1;
dt2
x(0) = 0; x'(0) = 0
x′(0) = 2
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