HP 48gII Graphing Calculator Manual do Utilizador descarregar pdf (Página 479)

100

101

Page 16-1

Chapter 16

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.

Basic operations with differential equations

In this section we present some uses of the calculator for entering, checking

and visualizing the solution of ODEs.

Entering differential equations

The key to using differential equations in the calculator is typing in the

derivatives in the equation. The easiest way to enter a differential equation is

to type it in the equation writer. For example, to type the following ODE:

(x-1)⋅(dy(x)/dx)

+ 2⋅x⋅y(x) = e

sin x, use:

‚O „

Ü~ „x -1 ™™™*‚¿ ~„x

™~„y„Ü~„x™™ Q2 ™™+2*

~„ x * ~„ y „Ü~„x ™™™™

‚= „¸ ~„ x ™*S~„x `

The derivative dy/dx is represented by ∂

x(y(x)) or by d1y(x). For

solution or calculation purposes, you need to specify y(x) in the expression,

i.e., the dependent variable must include its independent variable(s) in any

derivative in the equation.

You can also type an equation directly into the stack by using the symbol ∂ in

the derivatives. For example, to type the following ODE involving second-

order derivatives: d

u(x)/dx

+ 3⋅u(x)⋅(du(x)/dx) + u(x)

= 1/x, directly into

the screen, use:

³‚∂ ~„x„Ü‚¿~„x„ Ü~ „u

„Ü ~„x™™™+3*~ „u„Ü

~„x™*‚¿~„x„

Ü~„u„ Ü

~„x ™™ +~„u„

Ü ~„x™ Q2

‚ Å 1/ ~„x`

1 2 ... 474 475 476 477 478 479 480 481 482 483 484 ... 863 864

Comentários a estes Manuais

Sem comentários

HP 48gII Graphing Calculator Manual do Utilizador Página 479

Comentários a estes Manuais

Manuais e produtos relacionados com não HP 48gII Graphing Calculator