What is the solution for (dy)/(dx)=(y+5)(x-2) ?

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

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(dy)/(dx)=(y+5)(x-2)

\frac{d y}{d x} = (y + 5) (x - 2)

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

Solution steps

\frac{d y}{d x} = (y + 5) (x - 2)

Solve separable ODE:

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

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

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\int \frac{x - 1}{x ^{3} + x} d x

f (x) = x e^{4 x}

\int 4 csc (x) cot (x) + 2 sec^{2} (x) d x

\frac{\partial}{\partial y} (5 e^{x} ln (y))

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