Question

asked 2021-09-09

Solve the differential equation by variation of parameters

\(\displaystyle{y}\text{}+{3}{y}'+{2}{y}={\frac{{{1}}}{{{1}+{e}^{{x}}}}}\)

\(\displaystyle{y}\text{}+{3}{y}'+{2}{y}={\frac{{{1}}}{{{1}+{e}^{{x}}}}}\)

asked 2021-09-15

Solve the differential equation by variation of parameters

\(\displaystyle{y}\text{}{y}={\sin{{x}}}\)

\(\displaystyle{y}\text{}{y}={\sin{{x}}}\)

asked 2021-05-30

Solve the differential equation by variation of parameters

\(y"+y=\sin x\)

\(y"+y=\sin x\)

asked 2021-09-09

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