What is the (dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50 ?

The (dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50 is 4 1/2

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(dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50

\frac{d y}{d x} = \frac{1}{10} y - \frac{1}{5000} y^{2}, y (0) = 50

4 \frac{1}{2}

Decimal

4.5

Solution steps

Find

\frac{1}{10} y - \frac{1}{5000} y^{2}

given

y (0) = 50

\frac{1}{10} y - \frac{1}{5000} y^{2} = \frac{1}{10} y - \frac{1}{5000} y^{2}

y : 50

y^{2} : 5 0^{2}

= \frac{1}{10} \cdot 50 - \frac{1}{5000} \cdot 5 0^{2}

\frac{1}{10} \cdot 50 - \frac{1}{5000} \cdot 5 0^{2} = 4 \frac{1}{2}

= 4 \frac{1}{2}

What is the (dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50 ?
The (dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50 is 4 1/2