d v - \sin x \sin y d x = 0
Réitigh do v. (complex solution)
\left\{\begin{matrix}v=\frac{\sin(x)\sin(dxy)}{d}\text{, }&d\neq 0\\v\in \mathrm{C}\text{, }&\left(y=0\text{ and }n_{2}=0\text{ and }d=0\right)\text{ or }\left(\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }d=0\right)\end{matrix}\right.
Réitigh do v.
\left\{\begin{matrix}v=\frac{\sin(x)\sin(dxy)}{d}\text{, }&d\neq 0\\v\in \mathrm{R}\text{, }&d=0\text{ and }\left(x\neq 0\text{ or }\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ or }y=0\right)\end{matrix}\right.
Roinn
Cóipeáladh go dtí an ghearrthaisce
dv=0+\sin(x)\sin(ydx)
Cuir \sin(x)\sin(ydx) leis an dá thaobh.
dv=\sin(x)\sin(ydx)
Is ionann rud ar bith móide nialas agus a shuim féin.
dv=\sin(x)\sin(dxy)
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{dv}{d}=\frac{\sin(x)\sin(dxy)}{d}
Roinn an dá thaobh faoi d.
v=\frac{\sin(x)\sin(dxy)}{d}
Má roinntear é faoi d cuirtear an iolrúchán faoi d ar ceal.
dv=0+\sin(x)\sin(ydx)
Cuir \sin(x)\sin(ydx) leis an dá thaobh.
dv=\sin(x)\sin(ydx)
Is ionann rud ar bith móide nialas agus a shuim féin.
dv=\sin(x)\sin(dxy)
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{dv}{d}=\frac{\sin(x)\sin(dxy)}{d}
Roinn an dá thaobh faoi d.
v=\frac{\sin(x)\sin(dxy)}{d}
Má roinntear é faoi d cuirtear an iolrúchán faoi d ar ceal.
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Cothromóid chomhuaineach
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Teorainneacha
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