What is the solution for (dy)/(dx)-2xy=6x,y(0)=-7 ?

The solution for (dy)/(dx)-2xy=6x,y(0)=-7 is y=-3-4e^{x^2}

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(dy)/(dx)-2xy=6x,y(0)=-7

\frac{d y}{d x} - 2 x y = 6 x, y (0) = - 7

y = - 3 - 4 e^{x^{2}}

Solution steps

\frac{d y}{d x} - 2 x y = 6 x

Solve linear ODE:

y = - 3 - 4 e^{x^{2}}

y = - 3 - 4 e^{x^{2}}

f (x) = \frac{t + 1}{t ^{3} + t - 2}

\frac{d}{d x} (7 - \frac{4}{x - 8} + \frac{2 x}{3 x + 1})

\int v d v

\frac{d}{d x} (1000 (1 8^{3} - x)^{\frac{1}{3}})

x \to 6 + lim (x^{2} - 36)

What is the solution for (dy)/(dx)-2xy=6x,y(0)=-7 ?
The solution for (dy)/(dx)-2xy=6x,y(0)=-7 is y=-3-4e^{x^2}