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Beliebt Rechnen >

(dy)/(dx)6xy+1=0

Lösung

\frac{d y}{d x} 6 x y + 1 = 0

Lösung

y = \frac{- ln ( x ) + c _{1}}{3}, y = - \frac{- ln ( x ) + c _{1}}{3}

Schritte zur Lösung

\frac{d y}{d x} 6 x y + 1 = 0

Solve separable ODE:

y = \frac{- ln ( x ) + c _{1}}{3}, y = - \frac{- ln ( x ) + c _{1}}{3}

y = \frac{- ln ( x ) + c _{1}}{3}, y = - \frac{- ln ( x ) + c _{1}}{3}

Graph

Beliebte Beispiele

(x^2+6)^{1/2}dx+1/(xcsc(8y))dy=0

(x^{2} + 6)^{\frac{1}{2}} d x + \frac{1}{x csc ( 8 y )} d y = 0

(dy)/(dx)=72*y*x^7

\frac{d y}{d x} = 72 \cdot y \cdot x^{7}

(x^2+1)(dy)/(dx)+xy=3x,y(0)=4

(x^{2} + 1) \frac{d y}{d x} + x y = 3 x, y (0) = 4

y(dy)/(dx)=6(y^2+7)^7

y \frac{d y}{d x} = 6 (y^{2} + 7)^{7}

1/(sqrt(y))y^'=sqrt(b)

\frac{1}{y} y^{^{'}} = b