What is the solution for (dy)/(dx)=4x-7xy ?

The solution for (dy)/(dx)=4x-7xy is y=(e^{(-7x^2+c_{1})/2})/(7)+4/7

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(dy)/(dx)=4x-7xy

\frac{d y}{d x} = 4 x - 7 x y

y = \frac{e ^{\frac{- 7 x ^{2} + c _{1}}{2}}}{7} + \frac{4}{7}

Solution steps

\frac{d y}{d x} = 4 x - 7 x y

Solve separable ODE:

y = \frac{e ^{\frac{- 7 x ^{2} + c _{1}}{2}}}{7} + \frac{4}{7}

y = \frac{e ^{\frac{- 7 x ^{2} + c _{1}}{2}}}{7} + \frac{4}{7}

y^{^{'}} y = (x^{2} - 2 x + 2) (4 x^{3} - x^{2} + 5)

\frac{d y}{d x} = \frac{cos ( x )}{3 y}

\frac{d y}{d x} y = (x^{6} ln (x))^{4}

y^{^{'}} = \frac{e ^{x} ( y - 2 )}{3}

\frac{d y}{d x} = \frac{x y ^{3} - y ^{3}}{e ^{x}}

What is the solution for (dy)/(dx)=4x-7xy ?
The solution for (dy)/(dx)=4x-7xy is y=(e^{(-7x^2+c_{1})/2})/(7)+4/7