Given the differential equation: dy 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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Given the differential equation:
dy
dx
+1=-
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
(c) Runge-Kutta method
Transcribed Image Text:Given the differential equation: dy dx +1=- 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 (c) Runge-Kutta method
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