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In an LR circuit with applied voltage E = 10(1-e-0.1), the current i is given by L+Ri=10(1-e-0.1t), i(0)= io. Use the integrating factor method to solve the equation, showing all your work. State the long term solution as t → ∞.

In an LR circuit with applied voltage E = 10(1-e-0.1), the current i is given by L+Ri=10(1-e-0.1t), i(0)= io. Use the integrating factor method to solve the equation, showing all your work. State the long term solution as t → ∞.

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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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In an LR circuit with applied voltage E = 10(1-e-0.1), the current i is given by L+Ri=10(1-e-0.1t), i(0)= io. Use the integrating factor method to solve the equation, showing all your work. State the long term solution as t → ∞. 2
Transcribed Image Text:In an LR circuit with applied voltage E = 10(1-e-0.1), the current i is given by L+Ri=10(1-e-0.1t), i(0)= io. Use the integrating factor method to solve the equation, showing all your work. State the long term solution as t → ∞. 2
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