What is the solution for (dy)/(dx)+2xy=1 ?

The solution for (dy)/(dx)+2xy=1 is y=(sqrt(pi)\erfi(x))/(2e^{x^2)}+(c_{1})/(e^{x^2)}

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(dy)/(dx)+2xy=1

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

y = \frac{π erfi ( x )}{2 e ^{x^{2}}} + \frac{c _{1}}{e ^{x^{2}}}

Solution steps

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

Solve linear ODE:

y = \frac{π erfi ( x )}{2 e ^{x^{2}}} + \frac{c _{1}}{e ^{x^{2}}}

y = \frac{π erfi ( x )}{2 e ^{x^{2}}} + \frac{c _{1}}{e ^{x^{2}}}

h \to 0 - lim (\frac{- ln ( 1 + 6 h )}{h})

d er i v a t i v e 2 t^{3}

\int \frac{2}{cos ( 2 x )} d x

\frac{d}{d x} (\frac{x ^{2} + y - 1}{x + 1})

d er i v a t i v e f (x) = x^{10}

What is the solution for (dy)/(dx)+2xy=1 ?
The solution for (dy)/(dx)+2xy=1 is y=(sqrt(pi)\erfi(x))/(2e^{x^2)}+(c_{1})/(e^{x^2)}