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Euler's method

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The function of y(x) satisfies the differential equation and the initial

condition y(1)=1. Firstly solve the equation to get an exact value then use Euler's method to obtain the value of y(2). Compare this value with the analytical value and discuss how the approximate value obtained by Euler's method may be improved.

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This provides an example of solving analytically and using Euler's method.

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