Euler's method
10:08
Euler's method
Sep 25, 2014
Khan Academy
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.
SOLVED: (1) Use Euler's method to approximate the solution to the ini…
Apr 12, 2023
numerade.com
SOLVED:Use the improved Euler's method with tolerance to approximate the solution to y^'=1-siny, y(0)=0 at x=π. For a tolerance of ε=0.01 , use a stopping procedure based on the absolute error.
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SOLVED:Find the exact solution of the given initial value problem. Then apply Euler's method twice to approximate (to four decimal places) this solution on the given interval, first with step size h=0.01, then with step size h=0.005 . Make a table showing the approximate values and the actual value, together with the percentage error in the more accurate approximation, for x an integral multiple of 0.2. Throughout, primes denote derivatives with respect to x. y y^'=2 x^3, y(1)=3 ; 1 ≦x ≦2
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