What is the solution for 12x^2y+y^'=5x^2 ?

The solution for 12x^2y+y^'=5x^2 is y=(e^{-4x^3+c_{1}})/(12)+5/12

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12x^2y+y^'=5x^2

12 x^{2} y + y^{^{'}} = 5 x^{2}

y = \frac{e ^{- 4 x^{3} + c_{1}}}{12} + \frac{5}{12}

Solution steps

12 x^{2} y + y^{'} (x) = 5 x^{2}

Solve separable ODE:

y = \frac{e ^{- 4 x^{3} + c_{1}}}{12} + \frac{5}{12}

y = \frac{e ^{- 4 x^{3} + c_{1}}}{12} + \frac{5}{12}

What is the solution for 12x^2y+y^'=5x^2 ?
The solution for 12x^2y+y^'=5x^2 is y=(e^{-4x^3+c_{1}})/(12)+5/12