x^3ydx+9dy=0

Lösung

x^{3} y d x + 9 d y = 0

y = e^{- \frac{x ^{4}}{36} + c_{1}}

Schritte zur Lösung

x^{3} y d x + 9 d y = 0

Solve separable ODE:

y = e^{- \frac{x ^{4}}{36} + c_{1}}

y = e^{- \frac{x ^{4}}{36} + c_{1}}

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