Issolvi cos(x+y)dx=dx

$$\cos ( x + y ) d x = d x$$

Solvi għal d (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=2\pi n_{1}-y\text{ or }x=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas dx miż-żewġ naħat.

$$\cos(x+y)dx-dx=0$$

Ikkombina t-termini kollha li fihom d.

$$\left(\cos(x+y)x-x\right)d=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(x\cos(x+y)-x\right)d=0$$

Iddividi 0 b'\cos(x+y)x-x.

$$d=0$$

Solvi għal d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=2\pi n_{1}-y\text{ or }x=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas dx miż-żewġ naħat.

$$\cos(x+y)dx-dx=0$$

Ikkombina t-termini kollha li fihom d.

$$\left(\cos(x+y)x-x\right)d=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(x\cos(x+y)-x\right)d=0$$

Iddividi 0 b'\cos(x+y)x-x.

$$d=0$$

Solvi għal x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{; }x=2\pi n_{1}-y\text{, }n_{1}\in \mathrm{Z}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&d=0\end{matrix}\right.$$

Solvi għal x

$$\left\{\begin{matrix}\\x=0\text{; }x=2\pi n_{1}-y\text{, }n_{1}\in \mathrm{Z}\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&d=0\end{matrix}\right.$$