Mathematics

I tried to write formulas (part 7)

// <Linear Differential Equation part 2> Linear differential equation can be solved as below.(線形微分方程式は下記のように解くことができる。) \begin{eqnarray}\prod_{i=0}^k\left(\frac{d}{dx}-\lambda_i\right)y&=&0\notag \\ \left(\frac{d}{d…

I tried to write formulas (part 6)

// <Linear Differential Equation> Linear differential equation can be solved as follows.(線形微分方程式は次のようにして解くことができる。) \begin{eqnarray}\left(\frac{d}{dx}-\lambda\right)^{k}y&=&0\notag\\\left(\frac{d}{dx}-\lambda\right…

I tried to write formulas (part 5)

// <Linear Differential Operator> A linear combination of differential operators is described as below. \begin{eqnarray}\sum_{i=0}^na_i\left(\frac{d}{dx}\right)^i\end{eqnarray} Then, the next formula is true. \begin{eqnarray}\sum_{i=0}^n…