What is the solution for -(dy)/(dx)=2y-x ?

The solution for -(dy)/(dx)=2y-x is y=(2x-1)/4+(c_{1})/(e^{2x)}

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-(dy)/(dx)=2y-x

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

y = \frac{2 x - 1}{4} + \frac{c _{1}}{e ^{2 x}}

Solution steps

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

Solve linear ODE:

y = \frac{2 x - 1}{4} + \frac{c _{1}}{e ^{2 x}}

y = \frac{2 x - 1}{4} + \frac{c _{1}}{e ^{2 x}}

\int \frac{e ^{x^{2}}}{2 x} \cdot 5 x^{4} d x

\frac{d}{d t} ((sin (ln (t)))^{2})

\int_{1}^{10} \frac{29}{x ^{3}} d x

\int (x^{2} + ln (2 x) + e^{- 2 x}) d x

x \to 0 lim (1 - e^{- x})

What is the solution for -(dy)/(dx)=2y-x ?
The solution for -(dy)/(dx)=2y-x is y=(2x-1)/4+(c_{1})/(e^{2x)}