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Euler's Method
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⊙
|y
num
− y
exact
| (darker = larger error)
Equation
▼
dy/dx = y
dy/dx = −y
dy/dx = x − y
dy/dx = sin(x) − y
dy/dx = x · y
dy/dx = y(1 − y)
Custom f(x, y)…
f(x, y) — use x, y, sin, cos, exp, sqrt…
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Method
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Euler
Improved
Euler
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Legend
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Exact solution
Euler
Improved Euler
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x₀
y₀
Or tap the canvas to set (x₀, y₀).
Step size h
x
end
Steps = round((x_end − x₀) / h)
Draw Solution
Enter values and tap Draw Solution
Error Analysis
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Layers
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Direction field
— Exact solution
- - Numerical path(s)
▧ Error region
Error heatmap
Error statistics
Step markers
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