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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{1}{x} + c_{1}} x^{2}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{1}{x} + c_{1}} x^{2}

y = e^{- \frac{1}{x} + c_{1}} x^{2}

Graph

Beliebte Beispiele

(1-y)e^yy^'+(y^2)/(xln(x))=0

(1 - y) e^{y} y^{^{'}} + \frac{y ^{2}}{x ln ( x )} = 0

2sqrt(x)(dy)/(dx)=cos^2(y),y(0)=2

2 x \frac{d y}{d x} = cos^{2} (y), y (0) = 2

(dy)/(dx)=e^{5x-5y}

\frac{d y}{d x} = e^{5 x - 5 y}

y^{^{'}} = x + 2 x y

3x^2y^2dx+2x^3ydy=0,y(1)=2

3 x^{2} y^{2} d x + 2 x^{3} y d y = 0, y (1) = 2