Problem 1: Consider the following differential equation model of a reactor, with initial condition C4(0) = 0: dC A =C in -5CA %3D Ain dt where CAin= 1. Illustrate the procedure of the Runge-Kutta Method to find CA(t) with a sample time of 0.2. Do this by calculating the first two steps of the iteration.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Problem 1: Consider the following differential equation model of a reactor, with initial
condition C4(0) = 0:
dC A =C in -5CA
%3D
Ain
dt
where CAin= 1. Illustrate the procedure of the Runge-Kutta Method to find CA(t) with a
sample time of 0.2. Do this by calculating the first two steps of the iteration.
Transcribed Image Text:Problem 1: Consider the following differential equation model of a reactor, with initial condition C4(0) = 0: dC A =C in -5CA %3D Ain dt where CAin= 1. Illustrate the procedure of the Runge-Kutta Method to find CA(t) with a sample time of 0.2. Do this by calculating the first two steps of the iteration.
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