Question

The solution of D.E d²t/dt²=0​

Answer 1

Differentiation of x is one. So vice versa, i.e. integration of 1 is x.

So, d(dx/dt)/dt = integral of (-x)

I.e. dx/dt = -x^ 2/2

Since integration of x^n is x^n+1 / n+1

Now again integrate both side so we get,

y = - x^3 / 2* 3 = - x^3/6