What is the solution for (dy)/(dx)-2xy=10,y(0)=-8 ?

The solution for (dy)/(dx)-2xy=10,y(0)=-8 is y=5sqrt(pi)e^{x^2}\erf(x)-8e^{x^2}

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(dy)/(dx)-2xy=10,y(0)=-8

\frac{d y}{d x} - 2 x y = 10, y (0) = - 8

y = 5 π e^{x^{2}} erf (x) - 8 e^{x^{2}}

Solution steps

\frac{d y}{d x} - 2 x y = 10

Solve linear ODE:

y = 5 π e^{x^{2}} erf (x) - 8 e^{x^{2}}

y = 5 π e^{x^{2}} erf (x) - 8 e^{x^{2}}

\int_{2}^{4} 4 (3 x - 1) d x

y^{^{''}} - 100 y = 0

\frac{d}{d x} (\frac{1}{x ^{2} - 3 x + 2})

4 y^{^{'}} - 12 x^{2} = 0

\frac{\partial}{\partial x} (x sin^{2} (x y - y))

What is the solution for (dy)/(dx)-2xy=10,y(0)=-8 ?
The solution for (dy)/(dx)-2xy=10,y(0)=-8 is y=5sqrt(pi)e^{x^2}\erf(x)-8e^{x^2}