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Beliebt Rechnen >

(dv)/(dt)=-4v

Lösung

\frac{d v}{d t} = - 4 v

Lösung

v = e^{- 4 t + c_{1}}

Schritte zur Lösung

\frac{d v}{d t} = - 4 v

Solve separable ODE:

v = e^{- 4 t + c_{1}}

v = e^{- 4 t + c_{1}}

Graph

Beliebte Beispiele

x^'=x^2+1/49 ,x(0)=-7

x^{^{'}} = x^{2} + \frac{1}{49}, x (0) = - 7

(xsqrt(1-y^2))dx+(ysqrt(1-x^2))dy=0

(x 1 - y^{2}) d x + (y 1 - x^{2}) d y = 0

(dx)/(dt)= 3/4-(3x)/(100)

\frac{d x}{d t} = \frac{3}{4} - \frac{3 x}{100}

(x-xy^2)dx+(y-x^2y)dy=0

(x - x y^{2}) d x + (y - x^{2} y) d y = 0

yy^'=(e^x)/(1+e^x),y(0)=1

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