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Explain-the euler method and step

Numerical Euler's Method for Initial Value Problem

Solve the following problem:

Consider the initial value problem (IVP): y'(t) = y² subject to y(0)=1

Approximate y(1) using Euler's method and step sizes of 0.25. Perform these calculations by hand (using a calculator for arithmetic is ok). What is the true value of y(1)?

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Engineering Mathematics: Explain-the euler method and step

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Engineering Mathematics: Explain-the euler method and step

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