What is the solution for y^'=0.002y-200,y(0)=80000 ?

The solution for y^'=0.002y-200,y(0)=80000 is y=100000-20000e^{0.002t}

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y^'=0.002y-200,y(0)=80000

y^{^{'}} = 0.002 y - 200, y (0) = 80000

y = 100000 - 20000 e^{0.002 t}

Solution steps

y^{'} (t) = 0.002 y - 200

Solve linear ODE:

y = 100000 - 20000 e^{0.002 t}

y = 100000 - 20000 e^{0.002 t}

e^{4 x^{2}}

x y^{^{'}} = y + 8 x^{2} sin (x)

x \to 4 - lim (\frac{2}{x - 4})

x \to - \infty lim (4^{x})

x \to - 4 lim (\frac{x ^{2} + 5 x + 4}{x ^{2} + 3 x - 4})

What is the solution for y^'=0.002y-200,y(0)=80000 ?
The solution for y^'=0.002y-200,y(0)=80000 is y=100000-20000e^{0.002t}