What is implicit x/y+y/x =3piab^2 ?

The answer to implicit x/y+y/x =3piab^2 is (dy)/(dx)= y/x

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implicit x/y+y/x =3piab^2

implicit derivative

\frac{x}{y} + \frac{y}{x} = 3 πa b^{2}

\frac{d y}{d x} = \frac{y}{x}

Solution steps

\frac{x}{y} + \frac{y}{x} = 3 πa b^{2}

Treat

y

y (x)

Differentiate both sides:

\frac{y - x \frac{d y}{d x}}{y ^{2}} + \frac{x \frac{d y}{d x} - y}{x ^{2}} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{y}{x}

\frac{d y}{d x} = \frac{y}{x}

\frac{( - 2 s - 1 )}{s + 1}

\int \frac{1}{y ^{2} + x ^{2}} d x

2 x - 1, at x = 5

\int ln (22 x) d x

\int \frac{3 x ^{3} - 3 x + 4}{4 x ^{2} - 4} d x

What is implicit x/y+y/x =3piab^2 ?
The answer to implicit x/y+y/x =3piab^2 is (dy)/(dx)= y/x