Using the Midpoint Method, calculate y(0.4) for the following: y' = -5x¹y², y (0) = 1, h = 0.2 1 The solution for this ODE is given by: y = (1+x)5 Use 6 decimal places. 0.989156 O 0.998400 0.985663 0.991815
Using the Midpoint Method, calculate y(0.4) for the following: y' = -5x¹y², y (0) = 1, h = 0.2 1 The solution for this ODE is given by: y = (1+x)5 Use 6 decimal places. 0.989156 O 0.998400 0.985663 0.991815
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.CR: Chapter Review
Problem 16E: Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.
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Transcribed Image Text:Using the Midpoint Method, calculate y(0.4) for the following:
y'
=
-5x¹y², y (0) = 1,
h = 0.2
The solution for this ODE is given by: y =
(1+x)5
Use 6 decimal places.
O 0.989156
O 0.998400
0.985663
0.991815
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