Differential Equations Glossary
11 essential terms — because precise language is the foundation of clear thinking in Differential Equations.
Showing 11 of 11 terms
An equation relating a function to one or more of its derivatives.
A constant solution where dy/dx=0 everywhere.
A first-order numerical method for approximating solutions to DEs.
dy/dt=ky with k<0. Solution approaches zero.
dy/dt=ky with k>0. Solution grows without bound.
The family of all solutions, containing an arbitrary constant C.
Time for quantity to reduce to half. t=ln(2)/|k|.
A DE paired with an initial condition y(x0)=y0.
A single solution determined by applying an initial condition.
A DE that can be written with all y-terms on one side and all x-terms on the other.
A grid of short line segments showing the slope dy/dx at each point.