Solve for -3/(2t^-2) - 2t + 7/2

[laker_gurl3]

y''= -3/(t^3)

s=0 when t = 1
s'= -3/2 when t= (3)^1/2

my answer is...

-3/(2t^-2) - 2t + 7/2

please tell me if that is correct

 

[dextercioby]

Not really.You should have integrated twice correctly.

$$y'=-3\frac{t^{-2}}{-2}+...$$

Daniel.

 

[HallsofIvy]

First, you have "y" in the differential equation but "s" in the initial conditions. Which is it?
Second, you have -3/(2t^-2) in your answer which would be the same as (-3/2)t^2
Do you mean (-3/2)t^(-2)= -3/(2t^2)?

What is the integral of -3/(t^3)= -3t^(-3)? What is the integral of that?