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Beliebt Rechnen >

10y^'=10*9.81-5y

Lösung

10 y^{^{'}} = 10 \cdot 9.81 - 5 y

Lösung

y = - 0.2 e^{\frac{- t - c _{1}}{2}} + 19.62

Schritte zur Lösung

10 y^{'} (t) = 10 \cdot 9.81 - 5 y

Solve separable ODE:

y = - 0.2 e^{\frac{- t - c _{1}}{2}} + 19.62

y = - 0.2 e^{\frac{- t - c _{1}}{2}} + 19.62

Graph

Beliebte Beispiele

tangent y= 1/(x-1),\at x=6

t an g e n t y = \frac{1}{x - 1}, at x = 6

y^{''}-4y^'+3y=0

y^{^{''}} - 4 y^{^{'}} + 3 y = 0

derivative of-10sin(2x+10)

\frac{d}{d x} (- 10 sin (2 x + 10))

y^{''}+25y=-20sin(5t)

y^{^{''}} + 25 y = - 20 sin (5 t)

derivative of 3cos(3x+1)

\frac{d}{d x} (3 cos (3 x + 1))