(dy)/(dx)y=x^{ln(x)}

Lösung

\frac{d y}{d x} y = x^{l n (x)}

y = π 4 e erfi (ln (x) + \frac{1}{2}) + c_{1}, y = - π 4 e erfi (ln (x) + \frac{1}{2}) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = x^{l n (x)}

Solve separable ODE:

y = π 4 e erfi (ln (x) + \frac{1}{2}) + c_{1}, y = - π 4 e erfi (ln (x) + \frac{1}{2}) + c_{1}

y = π 4 e erfi (ln (x) + \frac{1}{2}) + c_{1}, y = - π 4 e erfi (ln (x) + \frac{1}{2}) + c_{1}

x^{^{'}} = a x

y^{^{'}} = \frac{- x}{y}

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

\frac{d y}{d x} = e^{x - y}, y (0) = 0

\frac{d y}{d x} = 5 x y^{2}