What is the solution for (dy)/(dx)=0.125(y-3) ?

The solution for (dy)/(dx)=0.125(y-3) is y=e^{0.125x+c_{1}}+3

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(dy)/(dx)=0.125(y-3)

\frac{d y}{d x} = 0.125 (y - 3)

y = e^{0.125 x + c_{1}} + 3

Solution steps

\frac{d y}{d x} = 0.125 (y - 3)

Solve separable ODE:

y = e^{0.125 x + c_{1}} + 3

y = e^{0.125 x + c_{1}} + 3

x^{3} y^{^{'}} + (5 x^{2} - 8) y = 0, y (1) = 2

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

y^{^{'}} = 2 e^{x - y}

y^{^{'}} = \frac{t ^{3} y ^{2}}{t ^{4} + e}, y (0) = 1

x y^{2} \frac{d y}{d x} = 2

What is the solution for (dy)/(dx)=0.125(y-3) ?
The solution for (dy)/(dx)=0.125(y-3) is y=e^{0.125x+c_{1}}+3