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Beliebt Rechnen >

y^'=((x^3sqrt(x^4-1)))/(y^3)

Lösung

y^{^{'}} = \frac{( x ^{3} x ^{4} - 1 )}{y ^{3}}

Lösung

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

Schritte zur Lösung

y^{'} (x) = \frac{( x ^{3} x ^{4} - 1 )}{y ^{3}}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^{^{'}} + 7 \frac{y}{x} = 0

(dx)/(dy)=(xy^2+x)/(10y^2)

\frac{d x}{d y} = \frac{x y ^{2} + x}{10 y ^{2}}

(dy)/(dx)=xy^2,y(-3)=-1/5

\frac{d y}{d x} = x y^{2}, y (- 3) = - \frac{1}{5}

(-4xy^2-4y)dx+(-4x^2y-4x)dy=0

(- 4 x y^{2} - 4 y) d x + (- 4 x^{2} y - 4 x) d y = 0

(dV)/(dt)=1-0.4*V

\frac{d V}{d t} = 1 - 0.4 \cdot V