Solve for k
\left\{\begin{matrix}\\k=0\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&A=0\end{matrix}\right.
Solve for A
\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&k=0\end{matrix}\right.
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\left(-k\right)A=\frac{\mathrm{d}}{\mathrm{d}t}(A)
Swap sides so that all variable terms are on the left hand side.
-Ak=\frac{\mathrm{d}}{\mathrm{d}t}(A)
Reorder the terms.
\left(-A\right)k=0
The equation is in standard form.
k=0
Divide 0 by -A.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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