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Beliebt Rechnen >

(dy)/(dx)=-(sqrt(x))/(sqrt(y))

Lösung

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

Lösung

y = 3 x^{3} - 3 c_{1} x^{\frac{3}{2}} + \frac{9 c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 x^{3} - 3 c_{1} x^{\frac{3}{2}} + \frac{9 c _{1}^{2}}{4}

y = 3 x^{3} - 3 c_{1} x^{\frac{3}{2}} + \frac{9 c _{1}^{2}}{4}

Graph

Beliebte Beispiele

integral of 1/((x^2)*sqrt(25x^2+16))

\int \frac{1}{( x ^{2} ) \cdot 25 x ^{2} + 16} d x

(\partial)/(\partial y)(xy+1)

\frac{\partial}{\partial y} (x y + 1)

integral of 1/((x^3-8)^2)

\int \frac{1}{( x ^{3} - 8 ) ^{2}} d x

integral of (sqrt(y^2-25))/y

\int \frac{y ^{2} - 25}{y} d y

limit as x approaches 2-of 1/(x^3-2x^2)

x \to 2 - lim (\frac{1}{x ^{3} - 2 x ^{2}})