The dynamics of the variable ywith respect to variable xis described by the following stiff ODE: dy + 50 (y – cos (x)) = 0 where y (0) = 1 dx The exact solution is given as: y (x) = 3.998 × 10 ¬4 exp(-50x) + 0.9998 cos (x – 0.02) | Use the modified Euler numerical algorithm for solving stiff ODES to find the value of y(o.75), using 3 integration steps. Compare your calculated result with the exact solution and calculate the minimum number of correct significant digits in your answer.
The dynamics of the variable ywith respect to variable xis described by the following stiff ODE: dy + 50 (y – cos (x)) = 0 where y (0) = 1 dx The exact solution is given as: y (x) = 3.998 × 10 ¬4 exp(-50x) + 0.9998 cos (x – 0.02) | Use the modified Euler numerical algorithm for solving stiff ODES to find the value of y(o.75), using 3 integration steps. Compare your calculated result with the exact solution and calculate the minimum number of correct significant digits in your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Solve using Euler Modified Method
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