dy/dx = 5 - 8x Solve the differential equation

(dy)/dx=5-8x
This differential equation is separable since it has a form

N(y) (dy)/dx=M(x)
And, it can be re-written as

N(y) dy = M(x) dx
So separating the variables, the equation becomes
dy=(5-8x)dx
Integrating both sides, it result to
int dy = int (5-8x)dx
y + C_1 = 5x - (8x^2)/2 + C_2
y+ C_1 = 5x - 4x^2 + C_2
Isolating the y, it becomes
y = 5x - 4x^2 + C_2 -C_1
Since C2 and C1 are constants, it can be expressed as a single constant C.
y=5x-4x^2+C
y=-4x^2 + 5x + C
Therefore, the general solution of the given differential equation is y=-4x^2 + 5x + C .