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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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uonynba
The ordinary differential equation for this assignment is given here:
dr
+Bz = Ateat, where A, a,8>0 and z = zo at t= 0.
It has analytical solution
z() = A. (1-)+ Age",
at
where
A
A =
and A = ro +
(3-a)
It is to be solved from t 0 to t 30.0, with step size h = 0.1, for the
parameter values and initial condition given here:
a=0.25, 3 0.45, A= 6.0, ro = 2.0.
Transcribed Image Text:uonynba The ordinary differential equation for this assignment is given here: dr +Bz = Ateat, where A, a,8>0 and z = zo at t= 0. It has analytical solution z() = A. (1-)+ Age", at where A A = and A = ro + (3-a) It is to be solved from t 0 to t 30.0, with step size h = 0.1, for the parameter values and initial condition given here: a=0.25, 3 0.45, A= 6.0, ro = 2.0.
An ordinary diffeential equation is given at the end of this document,
with parameter values and initial conditions.
1. Write the differential equation in the correct form for applying the
Euler and Euler-Cauchy methods.
Transcribed Image Text:An ordinary diffeential equation is given at the end of this document, with parameter values and initial conditions. 1. Write the differential equation in the correct form for applying the Euler and Euler-Cauchy methods.
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