Issolvi u=2x-x^3+3xyA

$$u = 2 x - x ^ { 3 } + 3 x y A$$

Solvi għal A (complex solution)

$$\left\{\begin{matrix}A=-\frac{-x^{3}+2x-u}{3xy}\text{, }&y\neq 0\text{ and }x\neq 0\\A\in \mathrm{C}\text{, }&\left(u=0\text{ and }x=0\right)\text{ or }\left(u=x\left(2-x^{2}\right)\text{ and }y=0\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$2x-x^{3}+3xyA=u$$

Naqqas 2x miż-żewġ naħat.

$$-x^{3}+3xyA=u-2x$$

Żid x^{3} maż-żewġ naħat.

$$3xyA=u-2x+x^{3}$$

L-ekwazzjoni hija f'forma standard.

$$3xyA=x^{3}-2x+u$$

Iddividi ż-żewġ naħat b'3xy.

$$\frac{3xyA}{3xy}=\frac{x^{3}-2x+u}{3xy}$$

Meta tiddividi b'3xy titneħħa l-multiplikazzjoni b'3xy.

$$A=\frac{x^{3}-2x+u}{3xy}$$

Solvi għal A

$$\left\{\begin{matrix}A=-\frac{-x^{3}+2x-u}{3xy}\text{, }&y\neq 0\text{ and }x\neq 0\\A\in \mathrm{R}\text{, }&\left(u=0\text{ and }x=0\right)\text{ or }\left(u=x\left(2-x^{2}\right)\text{ and }y=0\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$2x-x^{3}+3xyA=u$$

Naqqas 2x miż-żewġ naħat.

$$-x^{3}+3xyA=u-2x$$

Żid x^{3} maż-żewġ naħat.

$$3xyA=u-2x+x^{3}$$

L-ekwazzjoni hija f'forma standard.

$$3xyA=x^{3}-2x+u$$

Iddividi ż-żewġ naħat b'3xy.

$$\frac{3xyA}{3xy}=\frac{x^{3}-2x+u}{3xy}$$

Meta tiddividi b'3xy titneħħa l-multiplikazzjoni b'3xy.

$$A=\frac{x^{3}-2x+u}{3xy}$$

Solvi għal u

$$u=-x\left(x^{2}-3Ay-2\right)$$