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Beliebt Rechnen >

y^'= 3/x (y-y^{2/3})

Lösung

y^{^{'}} = \frac{3}{x} (y - y^{\frac{2}{3}})

Lösung

y = c_{1}^{3} x^{3} + 3 c_{1}^{2} x^{2} + 3 c_{1} x + 1

Schritte zur Lösung

y^{'} (x) = \frac{3}{x} (y - y^{\frac{2}{3}})

Solve Bernoulli ODE:

y = c_{1}^{3} x^{3} + 3 c_{1}^{2} x^{2} + 3 c_{1} x + 1

y = c_{1}^{3} x^{3} + 3 c_{1}^{2} x^{2} + 3 c_{1} x + 1

Graph

Beliebte Beispiele

u^'=5e^{8x-\H(x)}

u^{^{'}} = 5 e^{8 x - H (x)}

y^{^{'}} = 9 y

(dy)/(dx)=((1+y^2))/((1+x^2))

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

y^'=2y-1,y(0)= 3/2

y^{^{'}} = 2 y - 1, y (0) = \frac{3}{2}

(dy)/(dx)=(-1)/(x^2y^2),y(1)=2

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