Question

D²y/dx²=12x-12. express y in terms of x​

Answer 1

y(x)=2x^3-6x^2+ax+b, a and b are constants

Explanation:

d2y/dx2=12x-12, integrating both sides we get

dy/dx=6x^2-12x+a, where a is the integration constant.

Again integrating both sides, we get

y(x)=2x^3-6x^2+ax+b, where b is the integration constant