What is the solution for (dy)/(dx)=0.2*y+200 ?

The solution for (dy)/(dx)=0.2*y+200 is y=5e^{(x+c_{1})/5}-1000

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(dy)/(dx)=0.2*y+200

\frac{d y}{d x} = 0.2 \cdot y + 200

y = 5 e^{\frac{x + c _{1}}{5}} - 1000

Solution steps

\frac{d y}{d x} = 0.2 \cdot y + 200

Solve separable ODE:

y = 5 e^{\frac{x + c _{1}}{5}} - 1000

y = 5 e^{\frac{x + c _{1}}{5}} - 1000

(x^{3} + y^{3}) d x - x y^{2} d y = 0

\frac{d}{d x} (\frac{x ^{2} ln ( x )}{1 + 2 x})

x - 7

- 10 x^{2} y + \frac{d y}{d x} = - 7 x^{2}

\int 1000 x d x

What is the solution for (dy)/(dx)=0.2*y+200 ?
The solution for (dy)/(dx)=0.2*y+200 is y=5e^{(x+c_{1})/5}-1000