What is the solution for (dy)/(dx)=x-2.5y ?

The solution for (dy)/(dx)=x-2.5y is y=0.4x-0.16+(c_{1})/(e^{2.5x)}

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(dy)/(dx)=x-2.5y

\frac{d y}{d x} = x - 2.5 y

y = 0.4 x - 0.16 + \frac{c _{1}}{e ^{2.5 x}}

Solution steps

\frac{d y}{d x} = x - 2.5 y

Solve linear ODE:

y = 0.4 x - 0.16 + \frac{c _{1}}{e ^{2.5 x}}

y = 0.4 x - 0.16 + \frac{c _{1}}{e ^{2.5 x}}

1.5 (1 + e^{- 0.2 t})

x \to 0 lim ((1 - 4 x)^{\frac{6}{x}})

f (x) = 2 cos (3 x) + 3 e^{- 0.25 x}

(x, y) \to (0, 0) lim (0)

\frac{d}{d x} (- \frac{x ^{2}}{4})

What is the solution for (dy)/(dx)=x-2.5y ?
The solution for (dy)/(dx)=x-2.5y is y=0.4x-0.16+(c_{1})/(e^{2.5x)}