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Beliebt Rechnen >

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

Lösung

y^{^{'}} + \frac{2 x y ^{2} + 2 y}{2 x ^{2} y + 2 x} = 0

Lösung

y = \frac{c _{1}}{x}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

Graph

Beliebte Beispiele

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

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

u^'+n^2\H(t)=-((-1)^n+1)/(pi(n^2-1))

u^{^{'}} + n^{2} H (t) = - \frac{( - 1 ) ^{n} + 1}{π ( n ^{2} - 1 )}

y^'-sin(x)*y=3sin(x)

y^{^{'}} - sin (x) \cdot y = 3 sin (x)

y^2y^'=(1+y^3)cos(x)

y^{2} y^{^{'}} = (1 + y^{3}) cos (x)

(dy)/(dt)=y(y-1)

\frac{d y}{d t} = y (y - 1)