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Beliebt Rechnen >

(dy)/(dx)=x^2(y-2),y(0)=4

Lösung

\frac{d y}{d x} = x^{2} (y - 2), y (0) = 4

Lösung

y = 2 e^{\frac{x ^{3}}{3}} + 2

Schritte zur Lösung

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

Solve separable ODE:

y = 2 e^{\frac{x ^{3}}{3}} + 2

y = 2 e^{\frac{x ^{3}}{3}} + 2

Graph

Beliebte Beispiele

y^'=e^{-y},y(0)=0

y^{^{'}} = e^{- y}, y (0) = 0

(dy)/(dx)= 2/3 xsqrt(1-9y^2),y(0)=0

\frac{d y}{d x} = \frac{2}{3} x 1 - 9 y^{2}, y (0) = 0

(dv)/(dt)=sqrt(2/9)v

\frac{d v}{d t} = \frac{2}{9} v

derivative of sqrt(x)+sqrt(y)=1

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

(1+e^x)y*y^'=e^y

(1 + e^{x}) y \cdot y^{^{'}} = e^{y}