Réitigh frac{2F_{1}}{A_{1}}=F_2^prime/A_{2/3}

$$\frac { 2 F _ { 1 } } { A _ { 1 } } = \frac { F _ { 2 } ^ { \prime } } { A _ { 2 } / 3 }$$

Réitigh do A_1.

$$A_{1}\neq 0$$

$$F_{1}=0\text{ and }A_{2}\neq 0$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Ní féidir leis an athróg A_{1} a bheith comhionann le 0 toisc nach bhfuil an roinnt faoi nialas sainithe. Méadaigh an dá thaobh den chothromóid faoi A_{1}.

$$2F_{1}=3A_{1}A_{2}^{-1}\times \frac{\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}}{3}$$

Scríobh 3\times \frac{\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}}{3} mar chodán aonair.

$$2F_{1}=\frac{3\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}}{3}A_{1}A_{2}^{-1}$$

Cealaigh 3 agus 3.

$$2F_{1}=\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}A_{1}A_{2}^{-1}$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}A_{1}A_{2}^{-1}=2F_{1}$$

Athordaigh na téarmaí.

$$\frac{1}{A_{2}}A_{1}A_{2}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})=2F_{1}$$

Méadaigh an dá thaobh den chothromóid faoi A_{2}.

$$1A_{1}A_{2}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})=2F_{1}A_{2}$$

Athordaigh na téarmaí.

$$A_{1}A_{2}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})=2A_{2}F_{1}$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$0=2A_{2}F_{1}$$

Bíonn sé seo bréagach i gcás A_{1}.

$$A_{1}\in$$

Réitigh do A_2.

$$A_{2}\neq 0$$

$$F_{1}=0\text{ and }A_{1}\neq 0$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Méadaigh an dá thaobh den chothromóid faoi A_{1}.

$$2F_{1}=3A_{1}A_{2}^{-1}\times \frac{\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}}{3}$$

Scríobh 3\times \frac{\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}}{3} mar chodán aonair.

$$2F_{1}=\frac{3\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}}{3}A_{1}A_{2}^{-1}$$

Cealaigh 3 agus 3.

$$2F_{1}=\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}A_{1}A_{2}^{-1}$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})A_{2}A_{1}A_{2}^{-1}=2F_{1}$$

Athordaigh na téarmaí.

$$\frac{1}{A_{2}}A_{1}A_{2}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})=2F_{1}$$

Ní féidir leis an athróg A_{2} a bheith comhionann le 0 toisc nach bhfuil an roinnt faoi nialas sainithe. Méadaigh an dá thaobh den chothromóid faoi A_{2}.

$$1A_{1}A_{2}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})=2F_{1}A_{2}$$

Bain 2F_{1}A_{2} ón dá thaobh.

$$1A_{1}A_{2}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})-2F_{1}A_{2}=0$$

Athordaigh na téarmaí.

$$A_{1}A_{2}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})-2A_{2}F_{1}=0$$

Comhcheangail na téarmaí ar fad ina bhfuil A_{2}.

$$\left(A_{1}\frac{\mathrm{d}}{\mathrm{d}x}(F_{2})-2F_{1}\right)A_{2}=0$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(-2F_{1}\right)A_{2}=0$$

Roinn 0 faoi -2F_{1}.

$$A_{2}=0$$

Ní féidir leis an athróg A_{2} a bheith comhionann le 0.

$$A_{2}\in \emptyset$$