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Beliebt Rechnen >

x^'=k(300-x)

Lösung

x^{^{'}} = k (300 - x)

Lösung

x = - e^{- k t - c_{1}} + 300

Schritte zur Lösung

x^{'} (t) = k (300 - x)

Solve separable ODE:

x = - e^{- k t - c_{1}} + 300

x = - e^{- k t - c_{1}} + 300

Graph

Beliebte Beispiele

derivative of (8x^3-9/(x^2))

\frac{d}{d x} (\frac{8 x ^{3} - 9}{x ^{2}})

integral of 1/(u^5)

\int \frac{1}{u ^{5}} d u

x^2y^{''}-3xy^'+3y=0,y(1)=5,y^'(1)=3

x^{2} y^{^{''}} - 3 x y^{^{'}} + 3 y = 0, y (1) = 5, y^{^{'}} (1) = 3

x(e^{y/x}-1)y^'=e^{y/x}(y-x)

x (e^{\frac{y}{x}} - 1) y^{^{'}} = e^{\frac{y}{x}} (y - x)

derivative y=ln(x^5)+e^x-ln(e^2)

d er i v a t i v e y = ln (x^{5}) + e^{x} - ln (e^{2})