MAT136H1 Lecture Notes - Inductor, Electrical Network, Integral Curve
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MAT136H1 Full Course Notes
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Document Summary
Many differential equations cannot be explicitly solved for solution. But even without an explicit solution, graphical approach using direction fields can be used to learn a lot about the solution. Equation for gives the slope at any point ( ) on the graph, called the solution curve. Picking sample points across the plane, the direction field is formed which helps visualize the general shape of the solution curves by showing the direction the curve moves. Ohm"s law gives drop in voltage due to resistor . Direction fields help find numerical solutions to differential equations.
