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:Show that Euler's method fails to approximate the solution Y(x)=((2)/(3) x)^3 / 2, x ≥0, of the problem y^'=y^1 / 3, y(0)=0 . Explain why
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SOLVED:Show that Euler's method fails to approximate the solution Y(x)=((2)/(3) x)^3 / 2, x ≥0, of the problem y^'=y^1 / 3, y(0)=0 . Explain why
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SOLVED:Euler's Method In Exercises 73-78 , use Euler's Method to make a table of values for the approximate solution of the differential equation with the specified initial value. Use n steps of size h . y^'=x+y, y(0)=2, n=10, h=0.1
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