class2 - PHYS 5900 Class 2 (8/28/2009Fri) Zi-Wei Lin...

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PHYS 5900 Class 2 (8/28/2009Fri) Zi-Wei Lin ü Checking memory usage: In[1]:= MemoryInUse[ ] Out[1]= 10 124 408 In[2]:= MaxMemoryUsed[ ] Out[2]= 10 150 728 1.3 Getting help: In[3]:= ?Pi Pi is p , with numerical value > 3.14159. à In[4]:= ?DSolve DSolve @ eqn , y , x D solves a differential equation for the function y , with independent variable x . DSolve @8 eqn 1 , eqn 2 , < , 8 y 1 , y 2 , < , x D solves a list of differential equations. DSolve @ eqn , y , 8 x 1 , x 2 , <D solves a partial differential equation. à In[5]:= ?? DSolve DSolve @ eqn , y , x D solves a differential equation for the function y , with independent variable x . DSolve @8 eqn 1 , eqn 2 , < , 8 y 1 , y 2 , < , x D solves a list of differential equations. DSolve @ eqn , y , 8 x 1 , x 2 , <D solves a partial differential equation. à Attributes @ DSolve D = 8 Protected < Options @ DSolve D = 8 GeneratedParameters C < In[6]:= ?ND* NDSolve @ eqns , y , 8 x , x min , x max <D finds a numerical solution to the ordinary differential equations eqns for the function y with the independent variable x in the range x min to x max . NDSolve @ eqns , y , 8 x , x min , x max < , 8 t , t min , t max <D finds a numerical solution to the partial differential equations eqns . NDSolve @ eqns , 8 y 1 , y 2 , < , 8 x , x min , x max <D finds numerical solutions for the functions y i . à
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In[7]:= ?*Plot* System` ArrayPlot LogLogPlot ContourPlot LogPlot ContourPlot3D MatrixPlot DateListLogPlot MaxPlotPoints DateListPlot ParametricPlot DensityPlot ParametricPlot3D DiscretePlot Plot GraphPlot Plot3D GraphPlot3D Plot3Matrix LayeredGraphPlot PlotDivision LineIntegralConvolutionPlot PlotJoined ListContourPlot PlotLabel ListContourPlot3D PlotMarkers ListCurvePathPlot PlotPoints ListDensityPlot PlotRange ListLineIntegralConvolutionPlot PlotRangeClipping ListLinePlot PlotRangePadding ListLogLinearPlot PlotRegion ListLogLogPlot PlotStyle ListLogPlot PolarPlot ListPlot RegionPlot ListPlot3D RegionPlot3D ListPointPlot3D ReliefPlot ListPolarPlot RevolutionPlot3D ListStreamDensityPlot SphericalPlot3D ListStreamPlot StreamDensityPlot ListSurfacePlot3D StreamPlot ListVectorDensityPlot TreePlot ListVectorPlot VectorDensityPlot ListVectorPlot3D VectorPlot LogLinearPlot VectorPlot3D In[8]:= ?-> lhs -> rhs or lhs Ø rhs represents a rule that transforms lhs to rhs . à 2 class2.nb
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The Help menu (Documentation Center, etc) 1.4 Error Messages: In[9]:= DSolve @ 8 x'' @ y D == a, x' @ 0 D == v0, x @ 0 D == x0 < ,x @ t D ,t D DSolve::deqx : Supplied equations are not differential equations of the given functions. à Out[9]= DSolve @8 x ±± @ y D m a, x ± @ 0 D m v0, x @ 0 D m x0 < @ t D D 1.5 Packages * To load a package, use << FolderName`FileName` or Needs["FolderName`FileName`"] In[10]:= ?Needs
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class2 - PHYS 5900 Class 2 (8/28/2009Fri) Zi-Wei Lin...

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