MAT136H1 Lecture Notes - Separation Of Variables, Antiderivative
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MAT136H1 Full Course Notes
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In order to solve separable differential equation, cross multiply, then factor out common variable and divide both sides interchangeably, so that one variable is kept to one side so that they can be integrated over its own variable. Then the constant factor resulting from indefinite integral can be expressed in terms of the other expressions. Horse and lion population satisfy the differential equation. By solving this separable differential equation, show that where is a constant. By first rearranging the differential equation by cross multiplying: ( ) ( ) ; factor both sides: ( ) ( ) ; then divide both sides by the other variable: (
