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Beliebt Rechnen >

2xyy^'-2x^2+1=0!

Lösung

2 x y y^{^{'}} - 2 x^{2} + 1 = 0!

Lösung

y = x^{2} + c_{1}, y = - x^{2} + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = x^{2} + c_{1}, y = - x^{2} + c_{1}

y = x^{2} + c_{1}, y = - x^{2} + c_{1}

Graph

Beliebte Beispiele

(dy)/(dx)=xsqrt(y),y\ne 0

\frac{d y}{d x} = x y, y \neq = 0

y^'=(20-0.06y)/(0.02)

y^{^{'}} = \frac{20 - 0.06 y}{0.02}

y^'=(x^4+7)(cos(y))^2

y^{^{'}} = (x^{4} + 7) (cos (y))^{2}

y^'=r*y*(1-y/k)

y^{^{'}} = r \cdot y \cdot (1 - \frac{y}{k})

2y*e^{y^2}*y^'=2x+3sqrt(x)

2 y \cdot e^{y^{2}} \cdot y^{^{'}} = 2 x + 3 x