What is the solution for (dy)/(dx)=((x-1)(y+3))/((x+4)(y-2)) ?

The solution for (dy)/(dx)=((x-1)(y+3))/((x+4)(y-2)) is y=-5\W(-(x+4}{5e^{\frac{x+c_{1}+3)/5}})-3

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(dy)/(dx)=((x-1)(y+3))/((x+4)(y-2))

\frac{d y}{d x} = \frac{( x - 1 ) ( y + 3 )}{( x + 4 ) ( y - 2 )}

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

Solution steps

\frac{d y}{d x} = \frac{( x - 1 ) ( y + 3 )}{( x + 4 ) ( y - 2 )}

Solve separable ODE:

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

y = - 5 W (- \frac{x + 4}{5 e ^{\frac{x + c _{1} + 3}{5}}}) - 3

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What is the solution for (dy)/(dx)=((x-1)(y+3))/((x+4)(y-2)) ?
The solution for (dy)/(dx)=((x-1)(y+3))/((x+4)(y-2)) is y=-5\W(-(x+4}{5e^{\frac{x+c_{1}+3)/5}})-3