Linear, Inhomogeneous Type
General Form
Solution
, where
- is a constant and
Separable
General Form
Solution
Rearrange to get , and integrate
Bernoulli's
General Form
Solution
Substitute
Exact Equations
General Form
, with
Solution
Solution is of the form , a constant, where and
Approximation Methods
Let
Euler's Method
Euler's method with step size is given by:
.
Improved Euler's Method
Improved Euler's method with step size is given by:
.
Runge-Kutta Method of Fourth Order
For step size ,
, where
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