HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 144
The CALC/DIFF menu, Solution to linear and non-linear equations, Function LDEC - system of ode
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Chapter 14 Differential Equations In this Chapter we present examples of solving ordinary differential equations (ODE) using calculator functions. A differential equation is an equation involving derivatives of the independent variable. In most cases, we seek the dependent function that satisfies the differential equation. The CALC/DIFF menu The DIFFERENTIAL EQNS.. sub-menu within the CALC („Ö) menu provides functions for the solution of differential equations. The menu is listed below with system flag 117 set to CHOOSE boxes: These functions are briefly described next. They will be described in more detail in later parts of this Chapter. DESOLVE: ILAP: LAP: LDEC: Differential Equation SOLVEr, solves differential equations, when possible Inverse LAPlace transform, L-1[F(s)] = f(t) LAPlace transform, L[f(t)]=F(s) Linear Differential Equation Command Solution to linear and non-linear equations An equation in which the dependent variable and all its pertinent derivatives are of the first degree is referred to as a linear differential equation. Otherwise, the equation is said to be non-linear. Function LDEC The calculator provides function LDEC (Linear Differential Equation Command) to find the general solution to a linear ODE of any order with constant coefficients, whether it is homogeneous or not. This function requires you to provide two pieces of input: Page 14-1