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Beliebt Rechnen >

(dy)/(dx)=(x^3)/((y+1))

Lösung

\frac{d y}{d x} = \frac{x ^{3}}{( y + 1 )}

Lösung

y = \frac{- 4 + 16 - 8 ( - c _{1} - x ^{4} )}{4}, y = \frac{- 4 - 16 - 8 ( - c _{1} - x ^{4} )}{4}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x ^{3}}{( y + 1 )}

Solve separable ODE:

y = \frac{- 4 + 16 - 8 ( - c _{1} - x ^{4} )}{4}, y = \frac{- 4 - 16 - 8 ( - c _{1} - x ^{4} )}{4}

y = \frac{- 4 + 16 - 8 ( - c _{1} - x ^{4} )}{4}, y = \frac{- 4 - 16 - 8 ( - c _{1} - x ^{4} )}{4}

Graph

Beliebte Beispiele

y^'=(x(1+y))/(y(x+2))

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

y^{^{'}} = 3 x (1 - y)

(dz)/(dt)=6te^{5z},t(0)=0

\frac{d z}{d t} = 6 t e^{5 z}, t (0) = 0

(dx}{dy}=\frac{4xln(x))/y

\frac{d x}{d y} = \frac{4 x ln ( x )}{y}

(dx)/(dt)= 3/(xe^{t+6x)}

\frac{d x}{d t} = \frac{3}{x e ^{t + 6 x}}