Question
Reduce each of the following differential equations to the variable separable form and hence solve:
$(x-y)^2 \frac{d y}{d x}=a^2$
$(x-y)^2 \frac{d y}{d x}=a^2$
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$\int_0^1 \frac{1}{1+\sqrt{x}} d x$
$y=4-x^2$ and the $X$-axis.
$x e^y+y e^x=1$
$\left|\begin{array}{lll}1 & 3 & 6 \\ 6 & 1 & 4 \\ 3 & 7 & 12\end{array}\right|+4\left|\begin{array}{lll}2 & 3 & 3 \\ 2 & 1 & 2 \\ 1 & 7 & 6\end{array}\right|=10\left|\begin{array}{lll}1 & 2 & 1 \\ 3 & 1 & 7 \\ 3 & 2 & 6\end{array}\right|$
$\tan ^{-1}\left(\frac{2^x}{1+2^{2 x+1}}\right)$