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.
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.
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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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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