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Beliebt Rechnen >

(dy)/(dx)=(y^3)/(x^4)

Lösung

\frac{d y}{d x} = \frac{y ^{3}}{x ^{4}}

Lösung

y = - \frac{3 x ^{3}}{2 ( - 1 + 3 c _{1} x ^{3} )}, y = - - \frac{3 x ^{3}}{2 ( - 1 + 3 c _{1} x ^{3} )}

Schritte zur Lösung

\frac{d y}{d x} = \frac{y ^{3}}{x ^{4}}

Solve separable ODE:

y = - \frac{3 x ^{3}}{2 ( - 1 + 3 c _{1} x ^{3} )}, y = - - \frac{3 x ^{3}}{2 ( - 1 + 3 c _{1} x ^{3} )}

y = - \frac{3 x ^{3}}{2 ( - 1 + 3 c _{1} x ^{3} )}, y = - - \frac{3 x ^{3}}{2 ( - 1 + 3 c _{1} x ^{3} )}

Graph

Beliebte Beispiele

(dy)/(dx)=-2/4 x^3y^8

\frac{d y}{d x} = - \frac{2}{4} x^{3} y^{8}

(dy)/(dt)=(0.002*(-4.43sqrt(y)))/(10)

\frac{d y}{d t} = \frac{0.002 \cdot ( - 4.43 y )}{10}

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

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

2 x y^{^{'}} ln (x) = - 2 y

x*(dy)/(dx)+x^3y=0

x \cdot \frac{d y}{d x} + x^{3} y = 0