d²x dx (v) - 2 + 10x = e2t x(0) = 0, x' (0) = 1 dt2 dt

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 41E
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Using inverse laplace transforms
L{f'(t)} = sL{f(t)} – f(0)
L{f"(t)} = s²L{f(t)} – f'(0) – sf(0)
Question 4
Transcribed Image Text:L{f'(t)} = sL{f(t)} – f(0) L{f"(t)} = s²L{f(t)} – f'(0) – sf(0) Question 4
d²x
dx
(v)
- 2 + 10x = e2t x(0) = 0, x'(0) = 1
dt2
dt
Transcribed Image Text:d²x dx (v) - 2 + 10x = e2t x(0) = 0, x'(0) = 1 dt2 dt
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