xln(x)dy+yln(y)dx=0

Lösung

x ln (x) d y + y ln (y) d x = 0

y = e^{\frac{c _{1}}{l n ( x )}}

Schritte zur Lösung

x ln (x) d y + y ln (y) d x = 0

Solve separable ODE:

y = e^{\frac{c _{1}}{l n ( x )}}

y = e^{\frac{c _{1}}{l n ( x )}}

y^{^{'}} + a \cdot y^{2} = - b

f^{^{'}} (t) = f (t)^{- 1}

y^{^{'}} = 2 x^{3} (1 + y^{2}), y (1) = 0

\frac{d h}{d t} = - 0.03 h - 19

\frac{d y}{d x} = 8 (2 - y)