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zepelin [54]
2 years ago
9

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

Mathematics
1 answer:
NISA [10]2 years ago
3 0

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

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