Calculus - Numerical Analysis - Modified Eulers method
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Question :
Use the Modified Euler Method to approximate the solution to the initial value problem, and compare the results to the actual values.
y'=te^3t-2y, 0 <=t<=1 , y(0) = 0 with h = 0.5
actual solution y(t) = (1/5)te^3t-(1/25)e^3t+(1/25)e^-2t
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Solution Summary
Solution to the Initial value problem in Numerical Analysis is given with step by step explanation so that the student could easily understand the procedure and use this solution to solve other similar problems using Modified Eulers method.
Solution Preview
From Modified Euler's method y(0.5) = 0.280106
and y(1.0) = 3.280983
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