What is the solution for (dy)/(dx)=ky-10000 ?

The solution for (dy)/(dx)=ky-10000 is y=(e^{xk+c_{1}})/k+(10000)/k

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(dy)/(dx)=ky-10000

\frac{d y}{d x} = k y - 10000

y = \frac{e ^{x k + c_{1}}}{k} + \frac{10000}{k}

Solution steps

\frac{d y}{d x} = k y (x) - 10000

Solve separable ODE:

y = \frac{e ^{x k + c_{1}}}{k} + \frac{10000}{k}

y = \frac{e ^{x k + c_{1}}}{k} + \frac{10000}{k}

\frac{d y}{d x} = - ln ∣ x ∣ y

ln (y^{6}) \frac{d y}{d x} = x^{6} y, y (1) = e^{2}

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

y^{^{'}} = (1 + y^{2})^{0.5}

\frac{d y}{d x} (ln ∣ x + 8 ∣)^{6} = y

What is the solution for (dy)/(dx)=ky-10000 ?
The solution for (dy)/(dx)=ky-10000 is y=(e^{xk+c_{1}})/k+(10000)/k