What is the solution for (dy)/(dx)-6xy=sin(x^2) ?

The solution for (dy)/(dx)-6xy=sin(x^2) is y=e^{3x^2}*integral of e^{-3x^2}sin(x^2)

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(dy)/(dx)-6xy=sin(x^2)

\frac{d y}{d x} - 6 x y = sin (x^{2})

y = e^{3 x^{2}} \cdot \int e^{- 3 x^{2}} sin (x^{2}) d x

Solution steps

\frac{d y}{d x} - 6 x y = sin (x^{2})

Solve linear ODE:

y = e^{3 x^{2}} \cdot \int e^{- 3 x^{2}} sin (x^{2}) d x

y = e^{3 x^{2}} \cdot \int e^{- 3 x^{2}} sin (x^{2}) d x

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

\int 4 x - 3 x^{2} d x

f (t) = t (sin (9 t) + e^{- 2 t})

\int_{0}^{π} sin^{2} (6 x) d x

\frac{\partial}{\partial x} (x (x + 3 y + 2))

What is the solution for (dy)/(dx)-6xy=sin(x^2) ?
The solution for (dy)/(dx)-6xy=sin(x^2) is y=e^{3x^2}*integral of e^{-3x^2}sin(x^2)