What is implicit (dy)/(dx),xy=e^2y ?

The answer to implicit (dy)/(dx),xy=e^2y is (dy)/(dx)=-y/(x-e^2)

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implicit (dy)/(dx),xy=e^2y

implicit derivative

\frac{d y}{d x}, x y = e^{2} y

\frac{d y}{d x} = - \frac{y}{x - e ^{2}}

Solution steps

x y = e^{2} y

Treat

y

y (x)

Differentiate both sides:

y + x \frac{d y}{d x} = e^{2} \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{y}{x - e ^{2}}

\frac{d y}{d x} = - \frac{y}{x - e ^{2}}

\frac{m P}{P + ( m - P ) e ^{- km t}}

\frac{d ^{2}}{d x ^{2}} (\frac{3}{4 t ^{5}})

\int \frac{4}{x ^{4} - 1} d x

\frac{d}{d x} (6 x^{4} + 3)

y = x^{3} - 4 x, y = 12 x

What is implicit (dy)/(dx),xy=e^2y ?
The answer to implicit (dy)/(dx),xy=e^2y is (dy)/(dx)=-y/(x-e^2)