(dy)/(dx)=-4xy^2,y(0)=1

Lösung

\frac{d y}{d x} = - 4 x y^{2}, y (0) = 1

y = \frac{1}{2 x ^{2} + 1}

Schritte zur Lösung

\frac{d y}{d x} = - 4 x y^{2}

Solve separable ODE:

y = \frac{1}{2 x ^{2} + 1}

y = \frac{1}{2 x ^{2} + 1}

\frac{d P}{d t} = - e^{- t} P, P (0) = 100

y^{^{'}} = y^{\frac{1}{5}}

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

\frac{d y}{d x} y = arccos (\frac{1}{x})

y^{^{'}} - \frac{7}{5} y = 0