Consider subject to the initial condition dy da = y lnx y (1) = 1 1....
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Consider subject to the initial condition dy da = y lnx y (1) = 1 1. Numerically solve the equation for x = [1,2] using Euler's method with (a) h = 0.1. (b) h = 0.05. 2. Find an exact solution to the equation using separation of variables. 3. Using your exact solution, find the relative percent error for your numerical approximations of y(2). 4. Plot all three solutions on one graph, clearly labeling each curve. Consider subject to the initial condition dy da = y lnx y (1) = 1 1. Numerically solve the equation for x = [1,2] using Euler's method with (a) h = 0.1. (b) h = 0.05. 2. Find an exact solution to the equation using separation of variables. 3. Using your exact solution, find the relative percent error for your numerical approximations of y(2). 4. Plot all three solutions on one graph, clearly labeling each curve. Consider subject to the initial condition dy da = y lnx y (1) = 1 1. Numerically solve the equation for x = [1,2] using Euler's method with (a) h = 0.1. (b) h = 0.05. 2. Find an exact solution to the equation using separation of variables. 3. Using your exact solution, find the relative percent error for your numerical approximations of y(2). 4. Plot all three solutions on one graph, clearly labeling each curve. Consider subject to the initial condition dy da = y lnx y (1) = 1 1. Numerically solve the equation for x = [1,2] using Euler's method with (a) h = 0.1. (b) h = 0.05. 2. Find an exact solution to the equation using separation of variables. 3. Using your exact solution, find the relative percent error for your numerical approximations of y(2). 4. Plot all three solutions on one graph, clearly labeling each curve.
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1 Euler method for y fxy given yx0 y0 to find yk1 yxk1 with step size h is given Yk1 Ykhf k Yk 1 a T... View the full answer
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Posted Date:
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