Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integration.)

Question

dy/dx=6x^-7

^{y= ?}

Answer 1

dy/dx = 6x^-7

Separate variables to get dy = 6x^-7dx

Integrating both sides, we have y = 6x^-6 / 6 + C

So, y = 1 / x⁶ + C