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Beliebt Rechnen >

(dx)/(dt)=0.03x+3600t

Lösung

\frac{d x}{d t} = 0.03 x + 3600 t

Lösung

x = - \frac{399999999.99999 \dots ( 0.03 t + 1 )}{100} + c_{1} e^{0.03 t}

Schritte zur Lösung

\frac{d x}{d t} = 0.03 x + 3600 t

Solve linear ODE:

x = - \frac{399999999.99999 \dots ( 0.03 t + 1 )}{100} + c_{1} e^{0.03 t}

x = - \frac{399999999.99999 \dots ( 0.03 t + 1 )}{100} + c_{1} e^{0.03 t}

Graph

Beliebte Beispiele

derivative 2/(3x+5)

d er i v a t i v e \frac{2}{3 x + 5}

derivative of (5x/(x+4))

\frac{d}{d x} (\frac{5 x}{x + 4})

integral from-4 to 4 of (3-|x|)

\int_{- 4}^{4} (3 - ∣ x ∣) d x

tangent y=(x^2+4)^{2/3},\at x=2

t an g e n t y = (x^{2} + 4)^{\frac{2}{3}}, at x = 2

derivative y=5ln(4x^2+1)

d er i v a t i v e y = 5 ln (4 x^{2} + 1)