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Beliebt Rechnen >

-((dx)/(dy))=((x^2y^2))/((1+x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dt)=e^{-y}(2t-4),y(2)=0

\frac{d y}{d t} = e^{- y} (2 t - 4), y (2) = 0

(dh)/(dt)=1-0.5h

\frac{d h}{d t} = 1 - 0.5 h

((x^2-9))/x (dy)/(dx)+y=0,y(5)=1

\frac{( x ^{2} - 9 )}{x} \frac{d y}{d x} + y = 0, y (5) = 1

y^'+5xy= x/2-xy

y^{^{'}} + 5 x y = \frac{x}{2} - x y

\frac{d y}{d t} = 0.4 y