Differential Equations Workbook For Dummies®

12.10. Solving Equations with Computer-Based Numerical Methods

Computer-based numerical methods are always an option when you're faced with crazy, complex differential equations, such as

sin (y)y⁽⁴⁾ − 93 cos (x)y″′ + 3.7y′ + 6y⁶ − 4e^y = sin (x) cosh (x)

Several popular mathematical techniques, such as Euler's method and the Runge-Kutta method, can be readily translated into computer code. Read all about these methods in Differential Equations For Dummies or at www.efunda.com/math/num_ode/num_ode.cfm.