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Answered: Consider the initial value problem y² + 2ty -,y(1) = 2. 3 + 1² Jse Euler's method with h = 0.1, 0.05, 0.025, and 0.01 to explore the solution of this problem… | bartleby
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SOLVED: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^'=e^x y, y(0)=1, n=10, h=0.1
SOLVED:In Exercises 73-78 , use Euler's Method to make a table of …
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(a) Program a calculator or computer to use Euler's method to compute y(1), where y(x) is the solution of the initial-value problem (d y)/(d x) 3 x^2 y=6 x^2 y(0)=3 for each of the given step sizes. (i) h=1 (ii) h=0.1 (iii) h=0.01 (iv) h=0.001 (b) Verify that y=2 e^-x^3 is the exact solution of the differential equation. (c) Find the errors in using Euler's method to compute y(1) with the step sizes in part (a). What happens to the error when the step size is divided by 10 ? | Numerade
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