Réitigh f(x)=2sqrt{2-3x}dx

$$f ( x ) = 2 \sqrt { 2 - 3 x } d x$$

Réitigh do d. (complex solution)

$$\left\{\begin{matrix}d=\frac{\left(2-3x\right)^{-\frac{1}{2}}f}{2}\text{, }&x\neq \frac{2}{3}\\d\in \mathrm{C}\text{, }&x=0\text{ or }\left(f=0\text{ and }x=\frac{2}{3}\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$2\sqrt{2-3x}dx=fx$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$2\sqrt{2-3x}xd=fx$$

Roinn an dá thaobh faoi 2\sqrt{2-3x}x.

$$\frac{2\sqrt{2-3x}xd}{2\sqrt{2-3x}x}=\frac{fx}{2\sqrt{2-3x}x}$$

Má roinntear é faoi 2\sqrt{2-3x}x cuirtear an iolrúchán faoi 2\sqrt{2-3x}x ar ceal.

$$d=\frac{fx}{2\sqrt{2-3x}x}$$

Roinn fx faoi 2\sqrt{2-3x}x.

$$d=\frac{\left(2-3x\right)^{-\frac{1}{2}}f}{2}$$

Réitigh do f. (complex solution)

$$\left\{\begin{matrix}\\f=2\sqrt{2-3x}d\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Tá an chothromóid i bhfoirm chaighdeánach.

$$xf=2\sqrt{2-3x}dx$$

Roinn an dá thaobh faoi x.

$$\frac{xf}{x}=\frac{2\sqrt{2-3x}dx}{x}$$

Má roinntear é faoi x cuirtear an iolrúchán faoi x ar ceal.

$$f=\frac{2\sqrt{2-3x}dx}{x}$$

Roinn 2\sqrt{2-3x}dx faoi x.

$$f=2\sqrt{2-3x}d$$

Réitigh do d.

$$\left\{\begin{matrix}d=\frac{f}{2\sqrt{2-3x}}\text{, }&x<\frac{2}{3}\\d\in \mathrm{R}\text{, }&x=0\text{ or }\left(f=0\text{ and }x=\frac{2}{3}\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$2\sqrt{2-3x}dx=fx$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$2\sqrt{2-3x}xd=fx$$

Roinn an dá thaobh faoi 2\sqrt{2-3x}x.

$$\frac{2\sqrt{2-3x}xd}{2\sqrt{2-3x}x}=\frac{fx}{2\sqrt{2-3x}x}$$

Má roinntear é faoi 2\sqrt{2-3x}x cuirtear an iolrúchán faoi 2\sqrt{2-3x}x ar ceal.

$$d=\frac{fx}{2\sqrt{2-3x}x}$$

Roinn fx faoi 2\sqrt{2-3x}x.

$$d=\frac{f}{2\sqrt{2-3x}}$$

Réitigh do f.

$$\left\{\begin{matrix}f=2\sqrt{2-3x}d\text{, }&x\leq \frac{2}{3}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Tá an chothromóid i bhfoirm chaighdeánach.

$$xf=2\sqrt{2-3x}dx$$

Roinn an dá thaobh faoi x.

$$\frac{xf}{x}=\frac{2\sqrt{2-3x}dx}{x}$$

Má roinntear é faoi x cuirtear an iolrúchán faoi x ar ceal.

$$f=\frac{2\sqrt{2-3x}dx}{x}$$

Roinn 2\sqrt{2-3x}dx faoi x.

$$f=2\sqrt{2-3x}d$$