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''' <big><big><big> 3.1 Separable Equation </big></big></big> ''' | ''' <big><big><big> 3.1 Separable Equation </big></big></big> ''' | ||
| − | <font size="3px"> The easiest method is to separate the variables. This method is | + | <font size="3px"> The easiest method is to separate the variables. This method is switching the variables to make the same variable on the same side, in order to integral on both sides and solve out the function (solution). |
| + | |||
| + | For example, we want to solve the differential equation <math>\frac{dy}{dt}=-2yt</math>, where <math>y(0)=1</math>. | ||
| + | |||
</font> | </font> | ||
Revision as of 21:55, 12 November 2017
Basic Methods to Solve 1st-Order ODEs
A slecture by Yijia Wen
3.0 Abstract
By now we have known what is a differential equation and how its solutions conduct. It's time to solve it, like plenty of linear equations we have done before.
3.1 Separable Equation
The easiest method is to separate the variables. This method is switching the variables to make the same variable on the same side, in order to integral on both sides and solve out the function (solution).
For example, we want to solve the differential equation $ \frac{dy}{dt}=-2yt $, where $ y(0)=1 $.
