# Today I Learned

## Solving Equations Using Differential Transformation Method

Differential transformation is a method that applies the Taylor expansion of the function. For arbitrary function we can Taylor expand it

$$$f(x) = \sum_{n=0}^N F(n) (x-x_0)^n,$$$

where $F(n)$ is the coefficient of Taylor expansion. By using the definition, we can explore the properties of this transformation from function $f(x)$ to $F(n)$.