What is the solution for (2dy)/(dx)+5y=4 ?

The solution for (2dy)/(dx)+5y=4 is y=-(e^{(-5x-c_{1})/2})/(5)+4/5

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(2dy)/(dx)+5y=4

\frac{2 d y}{d x} + 5 y = 4

y = - \frac{e ^{\frac{- 5 x - c _{1}}{2}}}{5} + \frac{4}{5}

Solution steps

\frac{2 d y}{d x} + 5 y = 4

Solve separable ODE:

y = - \frac{e ^{\frac{- 5 x - c _{1}}{2}}}{5} + \frac{4}{5}

y = - \frac{e ^{\frac{- 5 x - c _{1}}{2}}}{5} + \frac{4}{5}

x \to 0 lim (\frac{1}{3})

4 x y^{^{'}} - (1 + x) y = 2 x y^{2}

\frac{d y}{d x} = \frac{( y ^{3} + x ^{3} )}{x y ^{2}}

f a c t or t^{3} - 6 t^{2} + 9 t

\int_{0}^{\infty} e^{- t} d t

What is the solution for (2dy)/(dx)+5y=4 ?
The solution for (2dy)/(dx)+5y=4 is y=-(e^{(-5x-c_{1})/2})/(5)+4/5