Explanation Calculation: Consider the differential equation L d i d t + R i = E . The differential equation can be written as, d i d t + R i L = E L The differential equation is in its standard form with P ( i ) = R L . Therefore the integrating factor is given by, e ∫ P ( i ) = e ∫ R L = e ( R / L ) t Multiply both sides of the differential equation by the integrating factor. e ( R / L ) t ( d i d t + R i L ) = e ( R / L ) t ( E L ) ( e ( R / L ) t ⋅ i ) ′ = e ( R / L ) t ( E L ) Integrate the above obtained result

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 2.3, Problem 27E

To determine

The solution for the given differential equation Ldidt+Ri=E with initial value i(0)=i0.

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Chapter 2.3, Problem 26E

Chapter 2.3, Problem 28E

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The solution for the given differential equation L d i d t + R i = E with initial value i ( 0 ) = i 0 .

Solution Summary: The author explains the solution of the differential equation Ldit+Ri=E with initial value. The integrating factor is given by,

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The solution for the given differential equation Ldidt+Ri=E with initial value i(0)=i0.

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Chapter 2 Solutions