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Use the Laplace transform to solve the given initial value problem. For technical reasons, write uc for the Heaviside function that turns on at c,not uc(t). y"+2y'+10y=3(t) y(0) = -2, y'(0) = 11 Y(s) = -3s -2s+7 2 s + 2s + 10 y(t) = -(1-3) sin(3(1-3)) изе +e 3 (-2 cos(31) + 3/3 sin (31)) 5

Use the Laplace transform to solve the given initial value problem. For technical reasons, write uc for the Heaviside function that turns on at c,not uc(t). y"+2y'+10y=3(t) y(0) = -2, y'(0) = 11 Y(s) = -3s -2s+7 2 s + 2s + 10 y(t) = -(1-3) sin(3(1-3)) изе +e 3 (-2 cos(31) + 3/3 sin (31)) 5

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 45E
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Use the Laplace transform to solve the given initial value problem. For technical reasons, write uc for the Heaviside function that turns on at c,not uc(t). y"+2y'+10y=3(t) y(0) = -2, y'(0) = 11 Y(s) = -3s -2s7 2 s + 2s + 10 y(t) = -(1-3) sin(3(1-3)) изе +e 3 -(-2 cos(31) + 3 / sin (31)) 5
Transcribed Image Text:Use the Laplace transform to solve the given initial value problem. For technical reasons, write uc for the Heaviside function that turns on at c,not uc(t). y"+2y'+10y=3(t) y(0) = -2, y'(0) = 11 Y(s) = -3s -2s7 2 s + 2s + 10 y(t) = -(1-3) sin(3(1-3)) изе +e 3 -(-2 cos(31) + 3 / sin (31)) 5
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