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Beliebt Rechnen >

y^'=0.04y-2000,y(0)=25000

Lösung

y^{^{'}} = 0.04 y - 2000, y (0) = 25000

Lösung

y = 50000 - 25000 e^{0.04 t}

Schritte zur Lösung

y^{'} (t) = 0.04 y - 2000

Solve linear ODE:

y = 50000 - 25000 e^{0.04 t}

y = 50000 - 25000 e^{0.04 t}

Graph

Beliebte Beispiele

laplacetransform e^{3(t-2)}

l a pl a ce t r an s f or m e^{3 (t - 2)}

derivative of (2x/(3+x^2))

\frac{d}{d x} (\frac{2 x}{3 + x ^{2}})

integral of x*sqrt(1-x^2)

\int x \cdot 1 - x^{2} d x

derivative f(x)=2x^2-3x+6

d er i v a t i v e f (x) = 2 x^{2} - 3 x + 6

derivative f(x)=log_{2}(x^2+1)-2^3

d er i v a t i v e f (x) = lo g_{2} (x^{2} + 1) - 2^{3}