What is the solution for (dy)/(dx)=(3-2y)*x^3 ?

The solution for (dy)/(dx)=(3-2y)*x^3 is y=-(e^{(-x^4-c_{1})/2})/(2)+3/2

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(dy)/(dx)=(3-2y)*x^3

\frac{d y}{d x} = (3 - 2 y) \cdot x^{3}

y = - \frac{e ^{\frac{- x ^{4} - c _{1}}{2}}}{2} + \frac{3}{2}

Solution steps

\frac{d y}{d x} = (3 - 2 y) \cdot x^{3}

Solve separable ODE:

y = - \frac{e ^{\frac{- x ^{4} - c _{1}}{2}}}{2} + \frac{3}{2}

y = - \frac{e ^{\frac{- x ^{4} - c _{1}}{2}}}{2} + \frac{3}{2}

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