Example of Euler 's method
Example of Euler 's method
IB Year 6 | Grade 12
1 mark
Use Euler's Method with a step length of \(0.25\) to estimate the value of \(y(1)\) for the differential equation
\[\frac{\mathrm{d}y}{\mathrm{d}x} = x - y^2 + 2, \, y(0) = 1,\]
to \(3\) significant figures.[1]
Solution:
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Answer:\(y(1)\approx1.63\)
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