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Beliebt Rechnen >

(dx)/(dt)=0.25-1/20 x,x(0)=0.5

Lösung

\frac{d x}{d t} = 0.25 - \frac{1}{20} x, x (0) = 0.5

Lösung

x = - \frac{9 e ^{- \frac{t}{20}}}{2} + 5

Schritte zur Lösung

\frac{d x}{d t} = 0.25 - \frac{1}{20} x

Solve separable ODE:

x = - \frac{9 e ^{- \frac{t}{20}}}{2} + 5

x = - \frac{9 e ^{- \frac{t}{20}}}{2} + 5

Graph

Beliebte Beispiele

y^{''}+25y=3sec^3(5)

y^{^{''}} + 25 y = 3 sec^{3} (5)

vereinfachen x/(x^2+y^2)

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n = 1 \sum \infty \frac{1}{2 ^{n} n ^{2}}

derivative of 2x^{-3}

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derivative f(x)= 4/x

d er i v a t i v e f (x) = \frac{4}{x}