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Beliebt Rechnen >

50y^'+20y^'+y=5000

Lösung

50 y^{^{'}} + 20 y^{^{'}} + y = 5000

Lösung

y = - e^{\frac{- t - c _{1}}{70}} + 5000

Schritte zur Lösung

50 y^{'} (t) + 20 y^{'} (t) + y = 5000

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{70}} + 5000

y = - e^{\frac{- t - c _{1}}{70}} + 5000

Graph

Beliebte Beispiele

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

\frac{d y}{d x} x^{2} - y + y^{2} = - 3

ycos^2(x)(dy)/(dx)=2+tan(x)

y cos^{2} (x) \frac{d y}{d x} = 2 + tan (x)

(x^3+1)*y^'=x^2*y

(x^{3} + 1) \cdot y^{^{'}} = x^{2} \cdot y

y^{^{'}} = y^{3} \cdot e^{- x}

(dy)/(dt)=e^{t+y},y(0)=0

\frac{d y}{d t} = e^{t + y}, y (0) = 0