Engineering     Difference Equations     Kirchoffs Law     Sinusoidal Analysis     Communications     Differential Equations     Dynamic Systems     Probability and Stats     Control Systems Simulations      MATLAB      Examples in MATLAB Links to other websites Johns Hopkins   -   Signals & systems example Cal State San Bernardino   -   Probablity and Statistics Engineering>> Differential Equations Prev |  Next |  Home  | Contact us  | Objective     DIFFERENTIAL EQUATIONS Study of differential equations appears in many engineering, science and economic applications. Differential equations are equations that express a relationship between a function y(t) and at least one of its derivatives , , , e.t.c). These equations are used to describe the type of phenomena that their current states depend on their past. Physical systems that exhibit memory are modeled by differential equations and are termed dynamic systems. Examples of such dynamic systems include electric circuits, electric motors, robotic manipulators, transportation systems and many more. Differential equations can be categorized as linear (L), nonlinear (NL), time invariant (TI) and time varying (TV). Here, we only discuss linear time-invariant (LTI) differential equation. The order of a differential equation is defined as the highest order of derivative of function y(t) that appears in the equation. Examples 1st order LTI: 2nd order LTI: 3rd order LTI: 2nd order LTV: 2nd order NLTI: 2nd order NLTV:       Solving First Order homogeneous LTI differential equations>>   Solving First Order non-homogeneous LTI differential equations>>   Solving Nth Order non-homogeneous LTI differential equations>>       MATLAB examples for differential equations.   Response of DC motor angular shift vs time     Output voltage response for a series RLC resonant circuit         Prev |  Next |  Home  | Contact us  | Objective