dy +1=_Y --- dx with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using: (b) Euler-Cauchy method

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve the following practice problems in step by step solution
dy
y
+1=
dx
X
with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential
equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using:
(b) Euler-Cauchy method
Compare the %error of the estimated values of (a), (b) and (c), calculated against the actual
values of (d). Show complete solutions and express answers in table form.
Transcribed Image Text:dy y +1= dx X with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using: (b) Euler-Cauchy method Compare the %error of the estimated values of (a), (b) and (c), calculated against the actual values of (d). Show complete solutions and express answers in table form.
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