MTH 122 Lecture 15: 10.5: Graphing Solutions of Differential Equations
11 Dec 2017
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De . y ( g) g independent of time right side is only y. G) ( 4 y ) y looks. To y the constant solutions divide the lies completely in one strip the constant func . y=( is a solution ty plane to horizontal strips each non constant solution. Each mncwstant solution is either strictly increasing or decreasing. Each nmcartant solution is either asymptotic to a constant solution or inc/dec who bound example. Z an y ( o ) y yz. Find c solution sketch a zero on on a draw how of the far g y ) axes. Z=y1 graph gly ) system . y=c an graph. Ht yz - graph , ty - graph , poslhey away ) ty - graph pos/m2. Beginning concavity pointing towards the: (g) systems yco ) direction y= y graph coordinate solutions solution which an de bound whether should direction wl constant an arrow.
