MAT136H1 Lecture Notes - Integral Curve, Strategy First
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MAT136H1 Full Course Notes
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Question #2 (medium): direction field & solution curve passing through a point. Then work with easy integers for ( ) like . Also see what happens along the axis and axis. Then compare the quadrants for any symmetry with negative and positive and combinations. Solution curve means at the assigned point, connect the directional lines to get a solution curve. Sketch the direction field of the differential equation. Then use it to sketch a solution curve that passes through the given coordinate. When and are both , the slope is zero. From plane, at these points, draw short lines of flat line. Also by setting the right side can be factored, so that ( ) Then wherever , the slope is also zero. That is wherever , which is in the second and fourth quadrants where their numeric values are the same. Likewise as and increase and move further away from the origin, the slope increases.
