Given the initial value problem (y^{prime}=y-y^{2}, y(0)=0.5) : (a) Solve the problem exactly using standard analytical methods
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Given the initial value problem \(y^{\prime}=y-y^{2}, y(0)=0.5\) :
(a) Solve the problem exactly using standard analytical methods for first-order ordinary differential equations.
(b) Apply the Runge-Kutta method (of fourth order) and solve the problem for \(0 \leq x \leq 1\), with a step size of \(h=0.2\). Compute the error, using the exact values in part (a).
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Related Book For
Advanced Mathematics For Engineering Students The Essential Toolbox
ISBN: 9780128236826
1st Edition
Authors: Brent J Lewis, Nihan Onder, E Nihan Onder, Andrew Prudil
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