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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of in(x^2-5)

\frac{d}{d x} (in (x^{2} - 5))

y^'=1-e^{x-y+8}

y^{^{'}} = 1 - e^{x - y + 8}

inverselaplace 5/(8s)

in v erse l a pl a ce \frac{5}{8 s}

limit as x approaches 3+of (x^2-9)^{x-3}

x \to 3 + lim ((x^{2} - 9)^{x - 3})

integral of (t^2+8)/(t^2-5t+6)

\int \frac{t ^{2} + 8}{t ^{2} - 5 t + 6} d t