What is the solution for (dy)/(dx)-0.075y=-9000 ?

The solution for (dy)/(dx)-0.075y=-9000 is y=-(e^{0.075x+c_{1}})/(0.075)+(9000)/(0.075)

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(dy)/(dx)-0.075y=-9000

\frac{d y}{d x} - 0.075 y = - 9000

y = - \frac{e ^{0.075 x + c_{1}}}{0.075} + \frac{9000}{0.075}

Solution steps

\frac{d y}{d x} - 0.075 y = - 9000

Solve separable ODE:

y = - \frac{e ^{0.075 x + c_{1}}}{0.075} + \frac{9000}{0.075}

y = - \frac{e ^{0.075 x + c_{1}}}{0.075} + \frac{9000}{0.075}

y^{^{'}} = e^{y + t}

y \cdot \frac{d y}{d x} = x \cdot \frac{x - e ^{x}}{e ^{y^{2}}}

x^{2} y^{^{'}} + \frac{1}{x} y = \frac{2}{x} y^{- 3}

\frac{d y}{d t} = 0.07 - \frac{y}{945}

\frac{d y}{d x} y = \frac{x ^{2} e ^{x}}{x ^{2} + e ^{x}}

What is the solution for (dy)/(dx)-0.075y=-9000 ?
The solution for (dy)/(dx)-0.075y=-9000 is y=-(e^{0.075x+c_{1}})/(0.075)+(9000)/(0.075)