Mathematical Analysis

Differential Equations

What techniques are used to solve first-order differential equations?

There are usually three major ways to solve first-order differential equations: analytically, qualitatively, and numerically. The analytical way includes the examples mentioned above, such as the linear and separable equations. Qualitative methods include such methods as defining the slope of a field of a differential equation. Finally, numerical techniques can be thought of as something close to Euler’s method, a way of finding the largest divisor of two numbers.


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