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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

integral of 5x^{1/2}

\int 5 x^{\frac{1}{2}} d x

(\partial)/(\partial y)((x^2-y^2)/(xy))

\frac{\partial}{\partial y} (\frac{x ^{2} - y ^{2}}{x y})

integral of (2x)/(sqrt(x^2+5))

\int \frac{2 x}{x ^{2} + 5} d x

integral of ln(y)+4xy^3

\int ln (y) + 4 x y^{3} d x

derivative of 4x-x^2y+y^3

\frac{d}{d x} (4 x - x^{2} y + y^{3})