Question

use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3

Answer 1

Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

Make a table:

x       y            y'            y' Δx + y

1        2           4             4*0.4 +  2 = 3.6   <---this is the new y value.

1.4    3.6        10.08      7.632

1.8    7.632    27.48     18.624

2.2  18.624   81.95      51.70

2.6  51.70    268.85   159.24

3     159.24  955.44    541.4