dθ/dx+dz/dθ=phidθ eching

$$\frac { d \theta } { d x } + \frac { d z } { d \theta } = \phi d \theta$$

d uchun yechish (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&\theta =0\text{ or }ϕ=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$ϕd\theta =\frac{\mathrm{d}(\theta )}{\mathrm{d}x}+\frac{\mathrm{d}(z)}{\mathrm{d}\theta }$$

Tenglama standart shaklda.

$$\theta ϕd=0$$

0 ni ϕ\theta ga bo'lish.

$$d=0$$

d uchun yechish

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&\theta =0\text{ or }ϕ=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$ϕd\theta =\frac{\mathrm{d}(\theta )}{\mathrm{d}x}+\frac{\mathrm{d}(z)}{\mathrm{d}\theta }$$

Tenglama standart shaklda.

$$\theta ϕd=0$$

0 ni ϕ\theta ga bo'lish.

$$d=0$$

x uchun yechish (complex solution)

$$x\in \mathrm{C}$$

$$\theta =0\text{ or }d=0\text{ or }ϕ=0$$

x uchun yechish

$$x\in \mathrm{R}$$

$$\theta =0\text{ or }d=0\text{ or }ϕ=0$$