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Beliebt Rechnen >

(dy)/(dx)=0.02y+40000,y(0)=2000000

Lösung

\frac{d y}{d x} = 0.02 y + 40000, y (0) = 2000000

Lösung

y = 4000000 e^{\frac{x}{50}} - 2000000

Schritte zur Lösung

\frac{d y}{d x} = 0.02 y + 40000

Solve separable ODE:

y = 4000000 e^{\frac{x}{50}} - 2000000

y = 4000000 e^{\frac{x}{50}} - 2000000

Graph

Beliebte Beispiele

y(25-x^2)^{1/2}dy=(25+y^2)^{1/2}dx

y (25 - x^{2})^{\frac{1}{2}} d y = (25 + y^{2})^{\frac{1}{2}} d x

dy=2xye^{x^2}dx

d y = 2 x y e^{x^{2}} d x

(dy)/(dx)=y(x^2+6)

\frac{d y}{d x} = y (x^{2} + 6)

(1-y^2)dx+xdy=0

(1 - y^{2}) d x + x d y = 0

(dy)/(dx)-2xy=2x,y(0)=3

\frac{d y}{d x} - 2 x y = 2 x, y (0) = 3