Hp 49g+ User Manual download pdf (Page 146)

Page 14-1

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 ( ) 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: Differential Equation SOLVEr, solves differential equations, when

possible

ILAP: Inverse LAPlace transform, L

-1

[F(s)] = f(t)

LAP: LAPlace transform, L[f(t)]=F(s)

LDEC: 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

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Hp 49g+ User Manual Page 146