Slope Field Explorer

first-order linear ODEs
Equation
Use y' or dy/dx. Juxtaposition implies multiplication — xy, 2y, 3x all work.

Functions: sin cos tan exp ln sqrt

Examples:
y' = xy
xy' - 3y = 0
y' - y = x
Initial Condition
x₀y₀
Or click anywhere on the graph to drop a curve.
Slope field
Particular solution