What is the solution for (dx)/(dy)=60-x/(100),x=4000,y=0 ?

The solution for (dx)/(dy)=60-x/(100),x=4000,y=0 is x=-2000e^{-y/(100)}+6000

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(dx)/(dy)=60-x/(100),x=4000,y=0

\frac{d x}{d y} = 60 - \frac{x}{100}, x = 4000, y = 0

x = - 2000 e^{- \frac{y}{100}} + 6000

Solution steps

\frac{d x}{d y} = 60 - \frac{x}{100}

Solve separable ODE:

x = - 2000 e^{- \frac{y}{100}} + 6000

x = - 2000 e^{- \frac{y}{100}} + 6000

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

\frac{d v}{d t} = 60 - \frac{9}{100} \cdot v

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (8)

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

(3 t^{2} + 5) y^{^{'}} = 3 t y, y (0) = 8

What is the solution for (dx)/(dy)=60-x/(100),x=4000,y=0 ?
The solution for (dx)/(dy)=60-x/(100),x=4000,y=0 is x=-2000e^{-y/(100)}+6000