Euler's method | Differential equations| AP Calculus BC | Khan Academy
10:07
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Euler's method | Differential equations| AP Calculus BC | Khan Academy
Euler's method is a numerical tool for approximating values for solutions of differential equations. See how (and why) it works. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-eulers-method/e/euler-s-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC ...
1.2M viewsSep 25, 2014
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How to use Euler's Method to Approximate a Solution to a Differential Equation | Calculus | Study.com
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SOLVED:Consider the following initial value problems. a. Find the approximations to y(0.2) and y(0.4) using Euler's method with time steps of Δt=0.2,0.1,0.05, and 0.025 b. Using the exact solution given, compute the errors in the Euler approximations at t=0.2 and t=0.4 c. Which time step results in the more accurate approximation? Explain your observations. d. In general, how does halving the time step affect the error at t=0.2 and t=0.4 ? y^'(t)=(y)/(2), y(0)=2 ; y(t)=2 e^t / 2
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