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Beliebt Rechnen >

ydx+((x-1)/(2x^3y))dy=0

Lösung

y d x + (\frac{x - 1}{2 x ^{3} y}) d y = 0

Lösung

y = - \frac{3}{- 2 x ^{3} - 3 x ^{2} - 6 x - 6 ln ( - 1 + x ) + c _{1} + 11}

Schritte zur Lösung

y d x + (\frac{x - 1}{2 x ^{3} y}) d y = 0

Solve separable ODE:

y = - \frac{3}{- 2 x ^{3} - 3 x ^{2} - 6 x - 6 ln ( - 1 + x ) + c _{1} + 11}

y = - \frac{3}{- 2 x ^{3} - 3 x ^{2} - 6 x - 6 ln ( - 1 + x ) + c _{1} + 11}

Graph

Beliebte Beispiele

(dy)/(dx)3x^2-3y^2=4

\frac{d y}{d x} 3 x^{2} - 3 y^{2} = 4

x^'=((6-x))/(300+t)

x^{^{'}} = \frac{( 6 - x )}{300 + t}

(dy)/(dx)=10e^{2x-y},y(0)=0

\frac{d y}{d x} = 10 e^{2 x - y}, y (0) = 0

(dy)/(dt)y=3cos(2t)

\frac{d y}{d t} y = 3 cos (2 t)

2yy^'=x(x^2-16)^{-1/2}

2 y y^{^{'}} = x (x^{2} - 16)^{- \frac{1}{2}}