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Solve questions 1-8 below by the Euler's method and RK4 method. A simple RL-electrical circuit consists of a constant reristance R (in ohms), a constant inductance L (in hengry) and an electromotive force E(t) (in volts). 1 E R L lll According to Kirchoff's second laws, the current I (in amperes) in the circuit satisfies the equation di L+ Ri = E(t). dt Given E(t) =120, L=3 henrys, R=15 ohms and i=0 when t=0 Solve the first-order differential equation for 0

Solve questions 1-8 below by the Euler's method and RK4 method. A simple RL-electrical circuit consists of a constant reristance R (in ohms), a constant inductance L (in hengry) and an electromotive force E(t) (in volts). 1 E R L lll According to Kirchoff's second laws, the current I (in amperes) in the circuit satisfies the equation di L+ Ri = E(t). dt Given E(t) =120, L=3 henrys, R=15 ohms and i=0 when t=0 Solve the first-order differential equation for 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve questions 1-8 below by the Euler's method and RK4 method. A simple RL-electrical circuit consists of a constant reristance R (in ohms), a constant inductance L (in hengry) and an electromotive force E(t) (in volts). 1 E R L lll According to Kirchoff's second laws, the current I (in amperes) in the circuit satisfies the equation di L+ Ri = E(t). dt Given E(t) =120, L=3 henrys, R=15 ohms and i=0 when t=0 Solve the first-order differential equation for 0<t<0.05 with At = 0.01.
Transcribed Image Text:Solve questions 1-8 below by the Euler's method and RK4 method. A simple RL-electrical circuit consists of a constant reristance R (in ohms), a constant inductance L (in hengry) and an electromotive force E(t) (in volts). 1 E R L lll According to Kirchoff's second laws, the current I (in amperes) in the circuit satisfies the equation di L+ Ri = E(t). dt Given E(t) =120, L=3 henrys, R=15 ohms and i=0 when t=0 Solve the first-order differential equation for 0<t<0.05 with At = 0.01.
If the exact solution is i=8(1-e), find the absolute errors at each iteration.
Transcribed Image Text:If the exact solution is i=8(1-e), find the absolute errors at each iteration.
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