Euler's method
10:08
Khan Academy
Euler's method
This video introduces Euler's Method, a numerical way to approximate solutions to differential equations when analytical methods don't work. Using a table with x, y, and dy/dx values, we start with an initial condition and increment x by a chosen delta x to estimate y values: smaller delta x gives better approximations.
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SOLVED: (1) Use Euler's method to approximate the solution to the initial value problem (d y)/( d x)=x^2+y^2, y(0)=2, on the interval [0,0.5] using h=0.1. Display your answers to three decimal places.
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