derivative of xy=cot(x)y

Lösung

\frac{d}{d x} (x y) = cot (x) y

y = e^{\int \frac{c o t ( x ) - 1}{x} d x}

Schritte zur Lösung

\frac{d}{d x} (x y) = cot (x) y

Solve separable ODE:

y = e^{\int \frac{c o t ( x ) - 1}{x} d x}

y = e^{\int \frac{c o t ( x ) - 1}{x} d x}

y^{^{'}} - e^{y} x = 0

x \cdot \frac{d y}{d x} = \frac{1}{y ^{3}}

y^{^{'}} = x^{6} y^{- 5}

\frac{d y}{d x} = 3 x (1 + y^{2})

\frac{d p}{d t} = 2.5 p - 5 p^{2}