Resolver dθ/dx+dz/dθ=phidθ

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

Ebatzi: d

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

Ekuazio lineala ebazteko urratsak

Trukatu aldeak, aldagaiak ezkerraldean egon daitezen.

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

Modu arruntean dago ekuazioa.

$$\theta ϕd=0$$

Zatitu 0 balioa ϕ\theta balioarekin.

$$d=0$$

Ebatzi: x

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

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