What is the solution for (dy)/(dx)=160+0.02*y,y(0)=2000 ?

The solution for (dy)/(dx)=160+0.02*y,y(0)=2000 is y=10000e^{x/(50)}-8000

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(dy)/(dx)=160+0.02*y,y(0)=2000

\frac{d y}{d x} = 160 + 0.02 \cdot y, y (0) = 2000

y = 10000 e^{\frac{x}{50}} - 8000

Solution steps

\frac{d y}{d x} = 160 + 0.02 \cdot y

Solve separable ODE:

y = 10000 e^{\frac{x}{50}} - 8000

y = 10000 e^{\frac{x}{50}} - 8000

\frac{d y}{d x} y = cos (tan (7 x + 3))

x^{2} + 2 x - 1 - 4 y y^{^{'}} = 0

\frac{d y}{d x} = e^{- 2 a y} - 1

y^{^{'}} = y e^{t}, y (0) = 1

y^{^{'}} = 3 t^{2} \frac{y}{y + 1}, y (2) = 1

What is the solution for (dy)/(dx)=160+0.02*y,y(0)=2000 ?
The solution for (dy)/(dx)=160+0.02*y,y(0)=2000 is y=10000e^{x/(50)}-8000