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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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
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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,