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Beliebt Rechnen >

(dy)/(dt)=(0.002*(-4.43sqrt(y)))/(10)

Lösung

\frac{d y}{d t} = \frac{0.002 \cdot ( - 4.43 y )}{10}

Lösung

y = 1.96249 E - 7 t^{2} + 3.92498 E - 7 c_{1} t + 1.96249 E - 7 c_{1}^{2}

Schritte zur Lösung

\frac{d y}{d t} = \frac{0.002 \cdot ( - 4.43 y )}{10}

Solve separable ODE:

y = 1.96249 E - 7 t^{2} + 3.92498 E - 7 c_{1} t + 1.96249 E - 7 c_{1}^{2}

y = 1.96249 E - 7 t^{2} + 3.92498 E - 7 c_{1} t + 1.96249 E - 7 c_{1}^{2}

Graph

Beliebte Beispiele

x^3(dy)/(dx)+4y^2=0,y(1)=1

x^{3} \frac{d y}{d x} + 4 y^{2} = 0, y (1) = 1

2 x y^{^{'}} ln (x) = - 2 y

x*(dy)/(dx)+x^3y=0

x \cdot \frac{d y}{d x} + x^{3} y = 0

\frac{d y}{y} = 4 d x

(dy}{dt}=\frac{3+y)/2

\frac{d y}{d t} = \frac{3 + y}{2}