What is the solution for (dy)/(dx)=0.5(100-y) ?

The solution for (dy)/(dx)=0.5(100-y) is y=-e^{-x/2-c_{1}}+100

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(dy)/(dx)=0.5(100-y)

\frac{d y}{d x} = 0.5 (100 - y)

y = - e^{- \frac{x}{2} - c_{1}} + 100

Solution steps

\frac{d y}{d x} = 0.5 (100 - y)

Solve separable ODE:

y = - e^{- \frac{x}{2} - c_{1}} + 100

y = - e^{- \frac{x}{2} - c_{1}} + 100

\int_{1}^{5} x ln (x) d x

f (x) = x (x + 3)^{2}

\int_{4}^{\infty} \frac{1}{x ^{3}} d x

y^{^{'}} - 2 y = 7

\frac{\partial}{\partial x} (x + yz)

What is the solution for (dy)/(dx)=0.5(100-y) ?
The solution for (dy)/(dx)=0.5(100-y) is y=-e^{-x/2-c_{1}}+100