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Beliebt Rechnen >

e^x(dy)/(dx)+y^2=xy^2

Lösung

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

Lösung

y = - \frac{e ^{x}}{- x + c _{1} e ^{x}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{e ^{x}}{- x + c _{1} e ^{x}}

y = - \frac{e ^{x}}{- x + c _{1} e ^{x}}

Graph

Beliebte Beispiele

y \cdot d x = - (1 - x) d y

(e^y+21)^2e^{-y}dx+(e^x+1)^3e^{-x}dy=0

(e^{y} + 21)^{2} e^{- y} d x + (e^{x} + 1)^{3} e^{- x} d y = 0

(1+x^2)y^'+xy=0

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

(dp)/(dx)=p-p^2

\frac{d p}{d x} = p - p^{2}

(dy)/(dx)=x+2xy,y(0)=3

\frac{d y}{d x} = x + 2 x y, y (0) = 3