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Using the Action Menu

udSolve

Function: Solves first, second or third order ordinary differential equations, or a system of first order differential equations.

Syntax: dSolve (Eq, independent variable, dependent variable [, initial condition-1, initial condition-2][, initial condition-3, initial condition-4][, initial condition-5, initial condition-6] [ ) ]

dSolve ({Eq-1, Eq-2}, independent variable, {dependent variable-1, dependent variable-2} [, initial condition-1, initial condition-2, initial condition-3, initial condition-4] [ ) ]

•If you omit the initial conditions, the solution will include arbitrary constants.

•Input all initial conditions equations using the syntax Var = Exp. Any initial condition that uses any other syntax will be ignored.

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]

urewrite

Function: Moves the right side elements of an equation or inequality to the left side.

Syntax: rewrite (Eq/Ineq/List [ ) ]

• Ineq (inequality) includes the “≠” (not equal to) relational operator.

Example: To move the right side elements of x + 3 = 5x – x2 to the left side

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

uexchange

Function: Swaps the right-side and left-side elements of an equation or inequality.

Syntax: exchange (Eq/Ineq/List [ ) ]

• Ineq (inequality) includes the “≠” (not equal to) relational operator. Example: To swap the left-side and right-side elements of 3 > 5x – 2y

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

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