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h) x" + 9x = sin 3t, x(0) = 0, x'(0) = 0.

h) x" + 9x = sin 3t, x(0) = 0, x'(0) = 0.

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 4E
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Please do h and j
0, and find the Laplace tranform X (s). Solve the following initial value problems using Laplac a) x' + 5x = H (t-2), x(0) = 1. t≥ 6, x(0) = 0. - b) x² + x = sin 2t, x' c) x" - x² - 6x=0, d) r" - 2x' + 2x=0, x" e) r" - 2x' + 2x = et, f) x" - x' =0, x(0) = 1, x'(0) = 0. g) x" +0.4x + 2x = 1 - H(t-5), x(0) = 0, r'(0) h) x" + 9x = sin 3t, x(0) = 0, x'(0) = 0. i) x" -2x = 1, x(0) = 1, x'(0) = 0. j) r' = 2x + H(t-1), x(0) = 0. x(0) = 2, x'(0) = -1 x(0) = 0, x'(0) = 1. - x(0) = 0, x'(0) = 1. Sketch the function f(t) = 2H(t - 3) - 2H(t - 4) transform. Find the Laplace transform of f(t) = t²H(t-3).
Transcribed Image Text:0, and find the Laplace tranform X (s). Solve the following initial value problems using Laplac a) x' + 5x = H (t-2), x(0) = 1. t≥ 6, x(0) = 0. - b) x² + x = sin 2t, x' c) x" - x² - 6x=0, d) r" - 2x' + 2x=0, x" e) r" - 2x' + 2x = et, f) x" - x' =0, x(0) = 1, x'(0) = 0. g) x" +0.4x + 2x = 1 - H(t-5), x(0) = 0, r'(0) h) x" + 9x = sin 3t, x(0) = 0, x'(0) = 0. i) x" -2x = 1, x(0) = 1, x'(0) = 0. j) r' = 2x + H(t-1), x(0) = 0. x(0) = 2, x'(0) = -1 x(0) = 0, x'(0) = 1. - x(0) = 0, x'(0) = 1. Sketch the function f(t) = 2H(t - 3) - 2H(t - 4) transform. Find the Laplace transform of f(t) = t²H(t-3).
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