Casio ALGEBRA FX2.0 series Uživatelský manuál Strana 1

Differential Equations (DIFF EQ)Software for the ALGEBRA FX 2.01. Using the DIFF EQ Mode2. Differential Equations of the First Order3. Linear Differen

2-7Differential Equations of the First Orderk OthersTo solve a general differential equation of the first order, simply input the equation andspecify

2-8Differential Equations of the First OrderExample To graph the solution of the first order differential equationdy/dx = –cos x, x0 = 0, y0 = 1, –5 &

3-1Linear Differential Equations of the Second Order3. Linear Differential Equations of the SecondOrderDescriptionTo solve a linear differential equat

3-2Linear Differential Equations of the Second OrderExample To graph the solution of the linear differential equation of the secondorder y앨 + 9y = sin

4-1Differential Equations of the Nth Order4. Differential Equations of the Nth OrderYou can solve differential equations of the first through ninth or

4-2Differential Equations of the Nth OrderExample To graph the solution of the differential equation of the fourth orderbelowy(4) = 0, x0 = 0, y0 = 0,

4-3Differential Equations of the Nth Orderk Converting a High-order Differential Equation to a System of the FirstOrder Differential EquationsYou can

Example Express the differential equation below as a set of first orderdifferential equations.y(3) = sinx – y쎾 – y앨, x0 = 0, y0 = 0, y쎾0 = 1, y앨0 = 0.

5. System of First Order Differential EquationsA system of first order differential equations, for example, has dependent variables (y1), (y2),...,

Example 1 To graph the solution of first order differential equations with twounknowns below.(y1)쎾= (y2), (y2)쎾 = – (y1) + sin x, x0 = 0, (y1)0 = 1, (

1-1Using the DIFF EQ Mode1. Using the DIFF EQ ModeYou can solve differential equations numerically and graph the solutions. The generalprocedure for s

Example 2 To graph the solution of the system of first order differential equationsbelow.(y1)쎾 = (2 – (y2)) (y1)(y2)쎾 = (2 (y1) – 3) (y2)x0 = 0, (y1)0

k Further AnalysisTo further analyze the result, we can graph the relation between (y1) and (y2).Procedure1 m STAT2 List 1, List 2, and List 3 contain

Important!• This calculator may abort calculation part way through when an overflow occurs part waythrough the calculation when calculated solutions c

1-2Using the DIFF EQ Mode6. Specify variables to graph or to store in LIST.Press 5(SET) and select c(Output) to display the list setting screen.x, y,

2-1Differential Equations of the First Order2. Differential Equations of the First Orderk Separable EquationDescriptionTo solve a separable equation,

2-2Differential Equations of the First OrderExample To graph the solutions of the separable equation dy/dx = y2 –1,x0 = 0, y0 = {0, 1}, –5 <<<

2-3Differential Equations of the First Orderk Linear EquationTo solve a linear equation, simply input the equation and specify initial values.dy/dx +

2-4Differential Equations of the First OrderExample To graph the solution of the linear equation dy/dx + xy = x, x0 = 0, y0 = –2, –5 <<<<&

2-5Differential Equations of the First Orderk Bernoulli equationTo solve a Bernoulli equation, simply input the equation and specify the power of y an

2-6Differential Equations of the First OrderExample To graph the solution of the Bernoulli equation dy/dx – 2y = –y2,x0 = 0, y0 = 1, –5 <<<&l