Applied Differential Equations I
Applied Differential Equations I MA 341
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This 5 page Class Notes was uploaded by Braeden Lind on Thursday October 15, 2015. The Class Notes belongs to MA 341 at North Carolina State University taught by Staff in Fall. Since its upload, it has received 6 views. For similar materials see /class/223726/ma-341-north-carolina-state-university in Mathematics (M) at North Carolina State University.
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Date Created: 10/15/15
Solution of ODEs Via Direction Fields Direction Field for y yy 2y 4 clears matlab39s memory clear creates grid points in the typlane t y meshgrid0252 52545 creates slope of all direction vectors slope yy2y4 plots direction vectors at all grid points quivertyonessizetslope N 0 Kll39lllK39Ill Kllllll KIllltll ll p lllll 39KIllill39 LIIgr I llll I x39 4 I IIt1 I x39 39ow39Lr I lllll I X39 o o N N 01 Direction Field for y y 12 clears matlab39s memory clear creates grid points in the ty plane t y meshgrid0252 254 creates slope of all direction vectors slope y l 2 plots direction vectors at all grid points quivertyonessizetslope x 39 xx ogxx X s gt Lngt Nx o Alligator Problem y 132001500yy 8 Use solve to nd the steady state solutions EDU solve39132001500yys03939 39 ans 75010562532sA12 75010562532s 12 Scale the differential equation so that the direction field is readable new y y150 new differential equation y 150320010 yy s150 clears matlab39s memory clear creates grid points in the ty plane t y meshgrid05200110 creates slope of all direction vectors slope 15032001O yy 50150 plots direction vectors at all grid points quivertyonessizetslope 8100 S150 8175