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Beliebt Rechnen >

xdx+ydy=xy(xdy-ydx)

Lösung

x d x + y d y = x y (x d y - y d x)

Lösung

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

Schritte zur Lösung

x d x + y d y = x y (x d y - y d x)

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of-6x^{1/4}

\frac{d}{d x} (- 6 x^{\frac{1}{4}})

integral of 1/(x(x-1))

\int \frac{1}{x ( x - 1 )} d x

limit as x approaches 1 of 1/(2x-1)

x \to 1 lim (\frac{1}{2 x - 1})

(\partial)/(\partial x)(x/(sqrt(x^2+y^3)))

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + y ^{3}})

y^'+7=e^{7x+y-5},y(0)=5

y^{^{'}} + 7 = e^{7 x + y - 5}, y (0) = 5