Manual HP 48gII grafische rekenmachine (page 158 of 186) (Dutch)

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Blz. 14-4

De variabele ODETYPE

Op de labels van de sofmenutoetsen zult u een nieuw variabele genaamd

@ODETY (ODETYPE) vinden. Deze variabele is aangemaakt met het oproepen

van de functie DESOL en bevat een string die het soort ODE toont dat gebruikt

wordt als invoer voor DESOLVE. Druk op @ODETY om de volgende string te

krijgen: “1st order linear”.

Voorbeeld 2

– Een vergelijking met beginvoorwaarden oplossen:

y/dt

+ 5y = 2 cos(t/2)

met de beginvoorwaarden

y(0) = 1.2, y’(0) = -0.5.

Gebruik in de rekenmachine:

[‘d1d1y(t)+5*y(t) = 2*COS(t/2)’ ‘y(0) = 6/5’ ‘d1y(0) = -1/2’] `

‘y(t)’ `

DESOLVE

Let op: de beginvoorwaarden zijn veranderd in Exacte uitdrukkingen: ‘y(0) =

6/5’ i.p.v. ‘y(0)=1.2’ en ‘d1y(0) = -1/2’ i.p.v. ‘d1y(0) = -0.5’. Door de

uitdrukking naar deze Exacte uitdrukking om te zetten, wordt de oplossing

makkelijker.

N.B.: gebruik de functie Q (zie hoofdstuk 5) om fractie-uitdrukkingen te

krijgen voor decimale waarden.

Druk op µµ om het resultaat te vereenvoudigen. Gebruik ˜EDIT om

deze oplossing te verkrijgen:

d.w.z.

‘y(t) = -((19*√5*SIN(√5*t)-(148*COS(√5*t)+80*COS(t/2)))/190)’.

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HP 48gII grafische rekenmachine Manual

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