What is the solution for (dy)/(dx)=2xy+6/(sqrt(pi)) ?

The solution for (dy)/(dx)=2xy+6/(sqrt(pi)) is y=3\erf(x)e^{x^2}+c_{1}e^{x^2}

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(dy)/(dx)=2xy+6/(sqrt(pi))

\frac{d y}{d x} = 2 x y + \frac{6}{π}

y = 3 erf (x) e^{x^{2}} + c_{1} e^{x^{2}}

Solution steps

\frac{d y}{d x} = 2 x y + \frac{6}{π}

Solve linear ODE:

y = 3 erf (x) e^{x^{2}} + c_{1} e^{x^{2}}

y = 3 erf (x) e^{x^{2}} + c_{1} e^{x^{2}}

What is the solution for (dy)/(dx)=2xy+6/(sqrt(pi)) ?
The solution for (dy)/(dx)=2xy+6/(sqrt(pi)) is y=3\erf(x)e^{x^2}+c_{1}e^{x^2}