What is the solution for (dy)/(dx)+5xy=4x ?

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

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(dy)/(dx)+5xy=4x

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

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

Solution steps

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

Solve separable ODE:

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

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

\int \frac{x ^{2} - 16}{x} d x

\int \frac{w}{1 - w} d w

x \to 1 lim (\frac{2}{( x - 1 ) ^{4}})

\int u^{- 1} d u

\frac{\partial}{\partial x} (3 x^{2} + 5 y^{7} + 9 x y)

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