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Beliebt Rechnen >

(dy)/(dx)=(1+y^2)/(2yx)

Lösung

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

Lösung

y = c_{1} x - 1, y = - c_{1} x - 1

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x - 1, y = - c_{1} x - 1

y = c_{1} x - 1, y = - c_{1} x - 1

Graph

Beliebte Beispiele

y = x y^{^{'}} - \frac{1}{y}

y^'=(2e^x)/(e^y)

y^{^{'}} = \frac{2 e ^{x}}{e ^{y}}

(y+1)cos(x)dx-dy=0

(y + 1) cos (x) d x - d y = 0

derivative of x^4+y^4=4,x^3+4y^3y^'=0

\frac{d}{d x} (x^{4} + y^{4}) = 4, x^{3} + 4 y^{3} y^{^{'}} = 0

3(1+q^2)(dp)/(dq)=2pq(p^3-1)

3 (1 + q^{2}) \frac{d p}{d q} = 2 pq (p^{3} - 1)