simultaneous linear differential equations

These may be solved by differentiating one or other of the equations and substituting an expression for dx/dt or dy/dt into the other equation to form a second order differential equation in x or y. Such systems of differential equations are of importance in the linear theory of equilibria.

Alternatively, the equations can be rewritten as a single matrix equation

This then has the solution

(See exponential of a matrix.)

• projection
• projection
• projective geometry
• projective space
• projective transformation
• prolate
• proof
• proof by contradiction
• proof theory
• proof verification
• proper class
• proper divisor
• proper factor
• proper fraction
• proper map
• proper subset
• proper value
• proper vector
• proportion
• proportion
• proposition
• propositional logic
• pseudoinverse
• pseudometric
• pseudoprime