Texas Instruments TINSPIRE Reference Guide - Page 91

rk23( ) Catalog > rk23(Expr, Var, depVar, {Var0, VarMax}, depVar0, VarStep [, diftol]) ⇒ matrix rk23(SystemOfExpr, Var, ListOfDepVars, {Var0, VarMax}, ListOfDepVars0, VarStep [, diftol]) ⇒ matrix rk23(ListOfExpr, Var, ListOfDepVars, {Var0, VarMax}, ListOfDepVars0, VarStep [, diftol]) ⇒ matrix Differential equation: y'=0.001*y*(100-y) and y(0)=10 Uses the Runge-Kutta method to solve the system -d----d---e---p----V----a--r= Expr(Var, depVar) d Var with depVar(Var0)=depVar0 on the interval [Var0,VarMax]. Returns a matrix whose first row defines the Var output values as defined by VarStep. The second row defines the value of the first solution component at the corresponding Var values, and so on. £ ¡ ¢ To see the entire result, press and then use and to move the cursor. Same equation with diftol set to 1.E•6 Expr is the right hand side that defines the ordinary differential equation (ODE). SystemOfExpr is a system of right-hand sides that define the system of ODEs (corresponds to order of dependent variables in System of equations: ListOfDepVars). ListOfExpr is a list of right-hand sides that define the system of ODEs (corresponds to order of dependent variables in ListOfDepVars). with y1(0)=2 and y2(0)=5 Var is the independent variable. ListOfDepVars is a list of dependent variables. {Var0, VarMax} is a two-element list that tells the function to integrate from Var0 to VarMax. ListOfDepVars0 is a list of initial values for dependent variables. If VarStep evaluates to a nonzero number: sign(VarStep) = sign(VarMax-Var0) and solutions are returned at Var0+i*VarStep for all i=0,1,2,... such that Var0+i*VarStep is in [var0,VarMax] (may not get a solution value at VarMax). if VarStep evaluates to zero, solutions are returned at the "RungeKutta" Var values. diftol is the error tolerance (defaults to 0.001). root() root(Value) ⇒ root root(Value1, Value2) ⇒ root root(Value) returns the square root of Value. root(Value1, Value2) returns the Value2 root of Value1. Value1 can be a real or complex floating point constant or an integer or complex rational constant. Note: See also Nth root template, page 1. Catalog > rotate() Catalog > rotate(Integer1[,#ofRotations]) ⇒ integer In Bin base mode: Rotates the bits in a binary integer. You can enter Integer1 in any number base; it is converted automatically to a signed, 64-bit binary form. If the magnitude of Integer1 is too large for this form, a symmetric modulo operation brings it within the range. For more information, see 4Base2, page 12. £ ¡ ¢ To see the entire result, press and then use and to move the cursor. TI-Nspire™ Reference Guide 85