What is the solution for e 1/x (dy)/(dx)+4y=2 ?

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

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e 1/x (dy)/(dx)+4y=2

e \frac{1}{x} \frac{d y}{d x} + 4 y = 2

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

Solution steps

e \frac{1}{x} \frac{d y}{d x} + 4 y = 2

Solve separable ODE:

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

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

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