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Beliebt Rechnen >

(dx)/(dt)=(-2x)/(30+t)

Lösung

\frac{d x}{d t} = \frac{- 2 x}{30 + t}

Lösung

x = \frac{c _{1}}{900 + 60 t + t ^{2}}

Schritte zur Lösung

\frac{d x}{d t} = \frac{- 2 x}{30 + t}

Solve separable ODE:

x = \frac{c _{1}}{900 + 60 t + t ^{2}}

x = \frac{c _{1}}{900 + 60 t + t ^{2}}

Graph

Beliebte Beispiele

3y^2(x-3)(dy)/(dx)=k

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

(dx)/(dy)=tan(x)

\frac{d x}{d y} = tan (x)

y^'=(e^{-x})/(sin(y)),y(0)=1

y^{^{'}} = \frac{e ^{- x}}{sin ( y )}, y (0) = 1

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

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

y^'=x^2y^{-3},y(0)=4

y^{^{'}} = x^{2} y^{- 3}, y (0) = 4