use euler's method with step size h=0.15 to compute the approximate value of y(0.6),correct upto five decimal places from initial value problem y′=x(y+x)−2, y(0)=2 Actually, I have found the answer for y(0.6) with h=0.15 but i doesn't know wether the answer is correct upto 5 decimal places or not. How can i check the error and get the answer correct upto 5 decimal places?

zabuheljz

zabuheljz

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2022-08-14

use euler's method with step size h = 0.15 to compute the approximate value of y ( 0.6 ),correct upto five decimal places from initial value problem
y = x ( y + x ) 2 , y ( 0 ) = 2
Actually, I have found the answer for y ( 0.6 ) with h = 0.15 but i doesn't know wether the answer is correct upto 5 decimal places or not. How can i check the error and get the answer correct upto 5 decimal places?

Answer & Explanation

merneh7

merneh7

Beginner2022-08-15Added 13 answers

If they give you a method and a step size they shouldn't ask you to maintain a certain accuracy. It would make more sense to ask you to choose the step size to get the accuracy desiblack.
Brooklyn Farrell

Brooklyn Farrell

Beginner2022-08-16Added 6 answers

Yes, it helped a lot, thanks

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