What is the solution for (dy)/(dx)+12x^2y=5x^2,y(0)=4 ?

The solution for (dy)/(dx)+12x^2y=5x^2,y(0)=4 is y=(43e^{-4x^3})/(12)+5/12

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(dy)/(dx)+12x^2y=5x^2,y(0)=4

\frac{d y}{d x} + 12 x^{2} y = 5 x^{2}, y (0) = 4

y = \frac{43 e ^{- 4 x^{3}}}{12} + \frac{5}{12}

Solution steps

\frac{d y}{d x} + 12 x^{2} y = 5 x^{2}

Solve separable ODE:

y = \frac{43 e ^{- 4 x^{3}}}{12} + \frac{5}{12}

y = \frac{43 e ^{- 4 x^{3}}}{12} + \frac{5}{12}

What is the solution for (dy)/(dx)+12x^2y=5x^2,y(0)=4 ?
The solution for (dy)/(dx)+12x^2y=5x^2,y(0)=4 is y=(43e^{-4x^3})/(12)+5/12