What is the solution for (dy)/(dx)=20-y/(6000+20x) ?

The solution for (dy)/(dx)=20-y/(6000+20x) is y=(20(20x+6000))/(21)+(c_{1})/(\sqrt[20]{6000+20x)}

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(dy)/(dx)=20-y/(6000+20x)

\frac{d y}{d x} = 20 - \frac{y}{6000 + 20 x}

y = \frac{20 ( 20 x + 6000 )}{21} + \frac{c _{1}}{20 6000 + 20 x}

Solution steps

\frac{d y}{d x} = 20 - \frac{y}{6000 + 20 x}

Solve linear ODE:

y = \frac{20 ( 20 x + 6000 )}{21} + \frac{c _{1}}{20 6000 + 20 x}

y = \frac{20 ( 20 x + 6000 )}{21} + \frac{c _{1}}{20 6000 + 20 x}

\int_{0}^{π} cos^{2} (2 x) d x

y^{^{''}} + 64 y = 0

\frac{d}{d x} (5 e^{2})

\frac{\partial}{\partial x} (9 x^{4 y})

\frac{2 s + 5}{s ^{2} + s}

What is the solution for (dy)/(dx)=20-y/(6000+20x) ?
The solution for (dy)/(dx)=20-y/(6000+20x) is y=(20(20x+6000))/(21)+(c_{1})/(\sqrt[20]{6000+20x)}