What is the solution for (dy)/(dx)=0.08y-100000 ?

The solution for (dy)/(dx)=0.08y-100000 is y=(25e^{(2x+c_{1})/(25)})/2+1250000

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(dy)/(dx)=0.08y-100000

\frac{d y}{d x} = 0.08 y - 100000

y = \frac{25 e ^{\frac{2 x + c _{1}}{25}}}{2} + 1250000

Solution steps

\frac{d y}{d x} = 0.08 y - 100000

Solve separable ODE:

y = \frac{25 e ^{\frac{2 x + c _{1}}{25}}}{2} + 1250000

y = \frac{25 e ^{\frac{2 x + c _{1}}{25}}}{2} + 1250000

\int \frac{16 x ^{2} - 25}{x ^{3}} d x

f (x) = 7 x + 2

\int \frac{5}{3 x + 1} d x

y^{^{''}} - 8 y^{^{'}} + 10 y = 0, y (0) = 0, y^{^{'}} (0) = 5

n = 1 \sum \infty \frac{1}{2 n !}

What is the solution for (dy)/(dx)=0.08y-100000 ?
The solution for (dy)/(dx)=0.08y-100000 is y=(25e^{(2x+c_{1})/(25)})/2+1250000