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Beliebt Rechnen >

xy^'=(3y^3+12yx^2)/(2y^2+8x^2)

Lösung

x y^{^{'}} = \frac{3 y ^{3} + 12 y x ^{2}}{2 y ^{2} + 8 x ^{2}}

Lösung

y = c_{1} x^{\frac{3}{2}}

Schritte zur Lösung

x y^{'} (x) = \frac{3 y ^{3} + 12 y x ^{2}}{2 y ^{2} + 8 x ^{2}}

Solve separable ODE:

y = c_{1} x^{\frac{3}{2}}

y = c_{1} x^{\frac{3}{2}}

Graph

Beliebte Beispiele

(dy)/(dx)=xy+6x+3y+18

\frac{d y}{d x} = x y + 6 x + 3 y + 18

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

\frac{d y}{d x} = \frac{x}{y}, y = 2, x = 1

(dy)/(dx)=((y+3)(x-1))/((y-2)(x+4))

\frac{d y}{d x} = \frac{( y + 3 ) ( x - 1 )}{( y - 2 ) ( x + 4 )}

(dy)/(dx)y= 5/(cos(x))+1/(tan(x))

\frac{d y}{d x} y = \frac{5}{cos ( x )} + \frac{1}{tan ( x )}

1/2 (dy)/(dt)+10y=12,y(0)=0

\frac{1}{2} \frac{d y}{d t} + 10 y = 12, y (0) = 0