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Beliebt Rechnen >

(dy)/(dt)=((50-y))/(10)

Lösung

\frac{d y}{d t} = \frac{( 50 - y )}{10}

Lösung

y = - e^{\frac{- t - c _{1}}{10}} + 50

Schritte zur Lösung

\frac{d y}{d t} = \frac{( 50 - y )}{10}

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{10}} + 50

y = - e^{\frac{- t - c _{1}}{10}} + 50

Graph

Beliebte Beispiele

(dy)/(dx)=3xsqrt(y),y\ne 0

\frac{d y}{d x} = 3 x y, y \neq = 0

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

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

(x-4)2y-5(x-4)y^'+9y=0

(x - 4) 2 y - 5 (x - 4) y^{^{'}} + 9 y = 0

(dy)/(dx)y=7x-5

\frac{d y}{d x} y = 7 x - 5

3 x y y^{^{'}} + 4 x - 2 = 0