y'=x²y², y(¹)=1 a) Calculate the Euler method approximations to the solution to the initial value problem x = 1.2, 1.4, 1.6, and 1.8. (Round your answers to 5 decimal places, at b) Find the exact solution to the initial value problem. c) Construct a chart to compare the results in part (a) with the exact solution at the given x-values.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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y'=x²y², y(¹)=1
a) Calculate the Euler method approximations
to the solution to the initial value problem
x = 1.2, 1.4, 1.6, and 1.8. (Round your answers
to 5 decimal places,
at
b) Find the exact solution to the initial value
problem.
c) Construct a chart to compare the results
in part (a) with the exact solution at
the given x-values.
Transcribed Image Text:y'=x²y², y(¹)=1 a) Calculate the Euler method approximations to the solution to the initial value problem x = 1.2, 1.4, 1.6, and 1.8. (Round your answers to 5 decimal places, at b) Find the exact solution to the initial value problem. c) Construct a chart to compare the results in part (a) with the exact solution at the given x-values.
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