Question

asked 2021-09-09

Solve the given differential equation by separation of variables: \(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={x}\sqrt{{{1}-{y}^{{2}}}}\)

asked 2021-05-29

Solve the given differential equation by separation of variables:

\(\frac{dP}{dt}=P-P^2\)

\(\frac{dP}{dt}=P-P^2\)

asked 2021-09-15

Solve the given differential equation by separation of variables:

\(\displaystyle{\frac{{{d}{P}}}{{{\left.{d}{t}\right.}}}}={P}-{P}^{{2}}\)

\(\displaystyle{\frac{{{d}{P}}}{{{\left.{d}{t}\right.}}}}={P}-{P}^{{2}}\)

asked 2021-09-15

Solve the given differential equation by separation of variables.

\(\displaystyle{\left({e}^{{y}}+{1}\right)}^{{2}}{e}^{{-{y}}}{\left.{d}{x}\right.}+{\left({e}^{{x}}+{1}\right)}^{{6}}{e}^{{-{x}}}{\left.{d}{y}\right.}={0}\)

\(\displaystyle{\left({e}^{{y}}+{1}\right)}^{{2}}{e}^{{-{y}}}{\left.{d}{x}\right.}+{\left({e}^{{x}}+{1}\right)}^{{6}}{e}^{{-{x}}}{\left.{d}{y}\right.}={0}\)