Rešite partial^nV/dx^2=0

$$\frac { \partial ^ { n } V } { d x ^ { 2 } } = 0$$

Rešitev za V (complex solution)

$$\left\{\begin{matrix}V=0\text{, }&d\neq 0\text{ and }x\neq 0\\V\in \mathrm{C}\text{, }&∂=0\text{ and }n\neq 0\text{ and }d\neq 0\text{ and }x\neq 0\end{matrix}\right,$$

Koraki za reševanje linearnih enačb

Pomnožite obe strani enačbe s/z dx^{2}.

$$∂^{n}V=0$$

Delite 0 s/z ∂^{n}.

$$V=0$$

Rešitev za V

$$\left\{\begin{matrix}V=0\text{, }&\left(Denominator(n)\text{bmod}2=1\text{ or }∂\geq 0\right)\text{ and }\left(n>0\text{ or }∂\neq 0\right)\text{ and }\left(∂>0\text{ or }n>0\text{ or }Denominator(n)\text{bmod}2=1\right)\text{ and }d\neq 0\text{ and }x\neq 0\\V\in \mathrm{R}\text{, }&∂=0\text{ and }n>0\text{ and }d\neq 0\text{ and }x\neq 0\end{matrix}\right,$$

Koraki za reševanje linearnih enačb

Pomnožite obe strani enačbe s/z dx^{2}.

$$∂^{n}V=0$$

Delite 0 s/z ∂^{n}.

$$V=0$$

Rešitev za d (complex solution)

$$d\neq 0$$

$$\left(V=0\text{ and }x\neq 0\right)\text{ or }\left(∂=0\text{ and }n\neq 0\text{ and }x\neq 0\right)$$

Rešitev za d

$$d\neq 0$$

$$\left(∂<0\text{ and }Denominator(n)\text{bmod}2=1\text{ and }V=0\text{ and }x\neq 0\right)\text{ or }\left(∂>0\text{ and }V=0\text{ and }x\neq 0\right)\text{ or }\left(∂=0\text{ and }n>0\text{ and }x\neq 0\right)$$