Systems of ODEs with IVP - Maple Help
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ODE Steps for Systems of ODEs with IVP

 

Overview

Examples

Overview

• 

This help page gives a few examples of using the command ODESteps to solve systems of ordinary differential equations with initial values.

• 

See Student[ODEs][ODESteps] for a general description of the command ODESteps and its calling sequence.

Examples

withStudent:-ODEs:

high_order_ivp1diffyx,x,x,x+3diffyx,x,x+4diffyx,x+2yx=0,evaldiffyx,x,x=0=1,evaldiffyx,x,x,x=0=2,y0=1

high_order_ivp1ⅆ3ⅆx3yx+3ⅆ2ⅆx2yx+4ⅆⅆxyx+2yx=0,ⅆ2ⅆx2yxx=0|ⅆ2ⅆx2yxx=0=2,ⅆⅆxyxx=0|ⅆⅆxyxx=0=−1,y0=1

(1)

ODEStepshigh_order_ivp1

macroY=y1x,y2x:

ivpsys2diffY,x=`%.`Matrix7,1,`-`4,3,Y,evalY,x=0=1,1

ivpsys2ⅆⅆxy1xⅆⅆxy2x=71−43·y1xy2x,y10y20=11

(2)

ODEStepsivpsys2

ivpsys3diffY,x=Matrix1,2,3,2·Y+1,expx,evalY,x=1=0,1

ivpsys3ⅆⅆxy1xⅆⅆxy2x=y1x+2y2x+13y1x+2y2x+ⅇx,y11y21=0−1

(3)

ODEStepsivpsys3

ivpsys4diffwx,x=wx+2zx,diffzx,x=3wx+2zx+expx,w1=2,z1=2

ivpsys4ⅆⅆxwx=wx+2zx,ⅆⅆxzx=3wx+2zx+ⅇx,w−1=2,z−1=−2

(4)

ODEStepsivpsys4

See Also

diff

Int

Student

Student[ODEs]

Student[ODEs][ODESteps]

 


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