What is the solution for (dy)/(dx)=(4x-1)(y+5) ?

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

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(dy)/(dx)=(4x-1)(y+5)

\frac{d y}{d x} = (4 x - 1) (y + 5)

y = e^{2 x^{2} - x + c_{1}} - 5

Solution steps

\frac{d y}{d x} = (4 x - 1) (y + 5)

Solve separable ODE:

y = e^{2 x^{2} - x + c_{1}} - 5

y = e^{2 x^{2} - x + c_{1}} - 5

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