y^'=2y^2*e^{-x^2},y(0)=1

Lösung

y^{^{'}} = 2 y^{2} \cdot e^{- x^{2}}, y (0) = 1

y = - \frac{1}{π erf ( x ) - 1}

Schritte zur Lösung

y^{'} (x) = 2 y^{2} \cdot e^{- x^{2}}

Solve separable ODE:

y = - \frac{1}{π erf ( x ) - 1}

y = - \frac{1}{π erf ( x ) - 1}

\frac{d y}{d x} = - \frac{7}{2} x^{7} y^{6}

y^{^{'}} = x sin (y)

\frac{d x}{d t} = 30 - \frac{x}{100}, x = 2000, t = 0

(x - 2) y^{^{'}} = y

\frac{d S}{d t} = 0.04 - \frac{1}{600} S