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Beliebt Rechnen >

10(dv)/(dx)=200-5v^2

Lösung

10 \frac{d v}{d x} = 200 - 5 v^{2}

Lösung

v = - \frac{2 10 e ^{210 x + 210 c_{1}}}{1 - e ^{210 (x + c_{1})}} - \frac{2 10}{1 - e ^{210 (x + c_{1})}}

Schritte zur Lösung

10 \frac{d v}{d x} = 200 - 5 v^{2}

Solve separable ODE:

v = - \frac{2 10 e ^{210 x + 210 c_{1}}}{1 - e ^{210 (x + c_{1})}} - \frac{2 10}{1 - e ^{210 (x + c_{1})}}

v = - \frac{2 10 e ^{210 x + 210 c_{1}}}{1 - e ^{210 (x + c_{1})}} - \frac{2 10}{1 - e ^{210 (x + c_{1})}}

Graph

Beliebte Beispiele

dy=(y+3)/(x+4)dx

d y = \frac{y + 3}{x + 4} d x

(sdt)/(ds)-2t=0

\frac{s d t}{d s} - 2 t = 0

(dy)/(dx)+2xy=x,y= 1/2+1/2 e^{-x^2}

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

(dy)/(dx)= x/y ,y(0)=-1

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 1

y^{^{'}} = cos (t) \cdot y