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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{x^{3} - 1}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{x^{3} - 1}

y = e^{x^{3} - 1}

Graph

Beliebte Beispiele

1/y (dy)/(dx)=x^2+9

\frac{1}{y} \frac{d y}{d x} = x^{2} + 9

(dy)/(dx)(y)=(csc(x)+cot(x))^{-1}

\frac{d y}{d x} (y) = (csc (x) + cot (x))^{- 1}

(dy)/(dx)y=6arcsec(x+5)

\frac{d y}{d x} y = 6 arcsec (x + 5)

(dy)/(dt)=(t+3t^2)/(y^2),y(0)=6

\frac{d y}{d t} = \frac{t + 3 t ^{2}}{y ^{2}}, y (0) = 6

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

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