Differential Equations

Slope Field Generator for First-Order ODEs

Visualize dy/dx = f(x,y) as a direction field: short marks at each grid point colored by slope sign. Overlay a gold solution curve through any initial condition.

Live Calculator · Direction Field · Differential Equations
Inputs
Result
ODE
dy/dx = y
Initial Condition
y(0) = 1
Color Key
■ Positive slope   ■ Negative slope   ■ Zero slope
Solution Curve
Gold curve computed via Euler's method (h=0.05), forward and backward from IC.

Interpretation

Draw the slope field above.

Slope Field + Solution Curve
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Put It Into Practice

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Differential Equations Practice Quizzes →
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