Selesaikan untuk c (complex solution)
\left\{\begin{matrix}c=\left(\frac{|E|}{|m|}\right)^{\frac{Re(t)Re(y^{2})-Im(t)Im(y^{2})-iRe(t)Im(y^{2})-iIm(t)Re(y^{2})}{\left(\left(Re(t)\right)^{2}+\left(Im(t)\right)^{2}\right)\left(\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}\right)^{2}}}e^{\frac{2\pi n_{1}iIm(t)Im(y^{2})}{\left(\left(Re(t)\right)^{2}+\left(Im(t)\right)^{2}\right)\left(\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}\right)^{2}}-\frac{2\pi n_{1}iRe(t)Re(y^{2})}{\left(\left(Re(t)\right)^{2}+\left(Im(t)\right)^{2}\right)\left(\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}\right)^{2}}-\frac{2\pi n_{1}Re(t)Im(y^{2})}{\left(\left(Re(t)\right)^{2}+\left(Im(t)\right)^{2}\right)\left(\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}\right)^{2}}-\frac{2\pi n_{1}Im(t)Re(y^{2})}{\left(\left(Re(t)\right)^{2}+\left(Im(t)\right)^{2}\right)\left(\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}\right)^{2}}+\frac{arg(\frac{E}{m})Re(t)Im(y^{2})+arg(\frac{E}{m})Im(t)Re(y^{2})+iarg(\frac{E}{m})Re(t)Re(y^{2})-iarg(\frac{E}{m})Im(t)Im(y^{2})}{\left(\left(Re(t)\right)^{2}+\left(Im(t)\right)^{2}\right)\left(\left(Re(y)\right)^{2}+\left(Im(y)\right)^{2}\right)^{2}}}\text{, }n_{1}\in \mathrm{Z}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&E=0\text{ and }m=0\end{matrix}\right.
Selesaikan untuk E
E=mc^{ty^{2}}
c>0\text{ or }\left(c=0\text{ and }t>0\text{ and }y\neq 0\right)\text{ or }\left(c<0\text{ and }Denominator(ty^{2})\text{bmod}2=1\right)
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Contoh
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{ x } ^ { 2 } - 4 x - 5 = 0
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Persamaan linear
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Matriks
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Persamaan serentak
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Pembezaan
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Pengamiran
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Had
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}