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Beliebt Rechnen >

(dy)/(dx)=3x^2y,y=9,x=0

Lösung

\frac{d y}{d x} = 3 x^{2} y, y = 9, x = 0

Lösung

y = 9 e^{x^{3}}

Schritte zur Lösung

\frac{d y}{d x} = 3 x^{2} y

Solve separable ODE:

y = 9 e^{x^{3}}

y = 9 e^{x^{3}}

Graph

Beliebte Beispiele

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

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

y^{^{'}} = 5 y, y (0) = 10

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

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

y(dy)/(dx)=5x(y^2+5)^2

y \frac{d y}{d x} = 5 x (y^{2} + 5)^{2}

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

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