What is the solution for (dy)/(dx)-2xy=-15x^2e^{x^2} ?

The solution for (dy)/(dx)-2xy=-15x^2e^{x^2} is y=-5e^{x^2}x^3+c_{1}e^{x^2}

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(dy)/(dx)-2xy=-15x^2e^{x^2}

\frac{d y}{d x} - 2 x y = - 15 x^{2} e^{x^{2}}

y = - 5 e^{x^{2}} x^{3} + c_{1} e^{x^{2}}

Solution steps

\frac{d y}{d x} - 2 x y = - 15 x^{2} e^{x^{2}}

Solve linear ODE:

y = - 5 e^{x^{2}} x^{3} + c_{1} e^{x^{2}}

y = - 5 e^{x^{2}} x^{3} + c_{1} e^{x^{2}}

f (x) = 6 x^{4} + 7 x - 8, (1, 5)

\int_{0}^{\frac{1}{4}} 2 arcsin (4 x) d x

\int \frac{v ( x )}{cos ( x )}

x \to 2 lim (x^{5} - 32 x)

2 (x^{2} + y^{2}) d x + (7 x y) d y = 0

What is the solution for (dy)/(dx)-2xy=-15x^2e^{x^2} ?
The solution for (dy)/(dx)-2xy=-15x^2e^{x^2} is y=-5e^{x^2}x^3+c_{1}e^{x^2}