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Solving First Order Differential Equations using the Euler Method

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In the problem, use Euler's method to obtain a four decimal approximation of the indicated value. Carry out the recursion of (3) by hand, first using h = 0.1 and then using h = 0.05.

y' = 2x - 3y + 1, y(1) = 5; y(1.2)

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Solution Summary

The Eulermethod is used to solve an ODE in this solution.

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First, we consider h=0.1, then
y(1)=5, y'(1)=2*1-3*5+1=-12
y(1.1)=y(1)+y'(1)*0.1=5+(-12**0.1=3.8
y'(1.1)=2*1.1-3*3.8+1=-8.2
So we ...

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