What is the solution for ((dx))/((dy))=(8-(2x))/((100+2y)) ?

The solution for ((dx))/((dy))=(8-(2x))/((100+2y)) is y=(c_{1})/(-x+4)-50

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((dx))/((dy))=(8-(2x))/((100+2y))

\frac{( d x )}{( d y )} = \frac{8 - ( 2 x )}{( 100 + 2 y )}

y = \frac{c _{1}}{- x + 4} - 50

Solution steps

\frac{( d x )}{( d y )} = \frac{8 - ( 2 x )}{( 100 + 2 y )}

Solve separable ODE:

y = \frac{c _{1}}{- x + 4} - 50

y = \frac{c _{1}}{- x + 4} - 50

\frac{ln ( x )}{3 ln ( x ) + 1}

- 3 x^{\frac{3}{2}}

\frac{d}{d x} (\frac{6}{( 3 - 4 x ) ^{5}})

x y^{2}

x \to 2 lim (\frac{sin ( 4 x - 8 )}{3 x - 6})

What is the solution for ((dx))/((dy))=(8-(2x))/((100+2y)) ?
The solution for ((dx))/((dy))=(8-(2x))/((100+2y)) is y=(c_{1})/(-x+4)-50