yln(x)dx=xln(y)dy

Lösung

y ln (x) d x = x ln (y) d y

y = e^{l n^{2} (x) + c_{1}}, y = e^{- l n^{2} (x) + c_{1}}

Schritte zur Lösung

y ln (x) d x = x ln (y) d y

Solve separable ODE:

y = e^{l n^{2} (x) + c_{1}}, y = e^{- l n^{2} (x) + c_{1}}

y = e^{l n^{2} (x) + c_{1}}, y = e^{- l n^{2} (x) + c_{1}}

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

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

\frac{d y}{d x} = 70 y x^{6}, y = 6

\frac{d v}{d t} = v \cdot t^{3} - 1.5 \cdot v, v (0) = 1

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