Solve for A
\left\{\begin{matrix}A=0\text{, }&c\neq 0\\A\in \mathrm{R}\text{, }&\left(x=0\text{ or }B=0\right)\text{ and }c\neq 0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=0\text{, }&c\neq 0\\B\in \mathrm{R}\text{, }&\left(x=0\text{ or }A=0\right)\text{ and }c\neq 0\end{matrix}\right.
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2c\frac{\mathrm{d}}{\mathrm{d}x}(y)=AeBx
Multiply both sides of the equation by 2c.
AeBx=2c\frac{\mathrm{d}}{\mathrm{d}x}(y)
Swap sides so that all variable terms are on the left hand side.
eBxA=0
The equation is in standard form.
A=0
Divide 0 by eBx.
2c\frac{\mathrm{d}}{\mathrm{d}x}(y)=AeBx
Multiply both sides of the equation by 2c.
AeBx=2c\frac{\mathrm{d}}{\mathrm{d}x}(y)
Swap sides so that all variable terms are on the left hand side.
eAxB=0
The equation is in standard form.
B=0
Divide 0 by Aex.
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