What is the solution for (dy)/(dx)=28+16x+28y+16xy ?

The solution for (dy)/(dx)=28+16x+28y+16xy is y=e^{4(2x^2+7x)+c_{1}}-1

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(dy)/(dx)=28+16x+28y+16xy

\frac{d y}{d x} = 28 + 16 x + 28 y + 16 x y

y = e^{4 (2 x^{2} + 7 x) + c_{1}} - 1

Solution steps

\frac{d y}{d x} = 28 + 16 x + 28 y + 16 x y

Solve separable ODE:

y = e^{4 (2 x^{2} + 7 x) + c_{1}} - 1

y = e^{4 (2 x^{2} + 7 x) + c_{1}} - 1

x^{4} y d x + 6 d y = 0

u, d H (x) - d x = u (x) (x)^{2} d x

y^{^{'}} = k (y + 2), y (0) = 5

\frac{d y}{y ^{\frac{1}{2}}} = x d x

\frac{d y}{d x} = \frac{y ^{2}}{x}

What is the solution for (dy)/(dx)=28+16x+28y+16xy ?
The solution for (dy)/(dx)=28+16x+28y+16xy is y=e^{4(2x^2+7x)+c_{1}}-1