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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

y = - \frac{1}{W ( - \frac{1}{e ^{\frac{c _{1} x - 1}{x}} x} )}

Beliebte Beispiele

3e^xtan(y)dx+(1-e^x)sec^2(y)dy=0

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

(dy)/(dx)=ye^{3x}

\frac{d y}{d x} = y e^{3 x}

(dy)/(dx)=y^2-3y+2

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

(1+t^2)(dy)/(dt)=1+y^2

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

y^'=(x+xy^2)/(4y)

y^{^{'}} = \frac{x + x y ^{2}}{4 y}