2-7-40

Using the Action Menu

Example: To solve a differential equation y’ = x, where y = 1 when x = 0.

Menu Item: [Action][Equation/Inequality][dSolve]

Example: To solve the system of first order differential equations y’ = y + z, z’ = y – z, where “x” is the independent variable, “y” and “z” are the dependent variables, and the initial conditions are y = 3 when x = 0, and z = 2 – 3 when x = 0

Menu Item: [Action][Equation/Inequality][dSolve]

urSolve

Function: Returns the explicit formula of a sequence that is defined in relation to one or two previous terms, or a system of recursive formulas.

Syntax: rSolve (Eq, initial condition-1[, initial condition-2] [ ) ]

rSolve ({Eq-1, Eq-2}, {initial condition-1, initial condition-2} [ ) ]

Example: To obtain the n-th term of a recursion formula an+1 = 3an–1 with the initial conditions a1=1

Menu Item: [Action][Equation/Inequality][rSolve]

Example: To obtain the n-th term of a recursion formula an+2 – 4an+1 + 4an = 0 with the initial conditions a1 =1, a2 = 3

Menu Item: [Action][Equation/Inequality][rSolve]

Example: To obtain the n-th terms of a system of recursion formulas an+1 = 3an + bn, bn+1 = an + 3bn with the initial conditions a1 =2, b1 = 1

Menu Item: [Action][Equation/Inequality][rSolve]

20021201