What is the solution for 1200(dy)/(dx)=12000-200y-1800 ?

The solution for 1200(dy)/(dx)=12000-200y-1800 is y=-e^{(-x-c_{1})/6}+51

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1200(dy)/(dx)=12000-200y-1800

1200 \frac{d y}{d x} = 12000 - 200 y - 1800

y = - e^{\frac{- x - c _{1}}{6}} + 51

Solution steps

1200 \frac{d y}{d x} = 12000 - 200 y - 1800

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{6}} + 51

y = - e^{\frac{- x - c _{1}}{6}} + 51

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What is the solution for 1200(dy)/(dx)=12000-200y-1800 ?
The solution for 1200(dy)/(dx)=12000-200y-1800 is y=-e^{(-x-c_{1})/6}+51