Second order homogeneous ODE: z'' + 7y' = 0 where z and y are functions of t

[ssonia]

Given

z'' + 7y' = 0 where z and y are both functions of t.

How would i go about finding an expression for z'?

Can l simply just integrate the equation with respect to a variable t, hence:

z' = 7y + c ?

Thanks

 

[Deleted member 4993]

Given

z'' + 7y' = 0 where z and y are both functions of t.

How would i go about finding an expression for z'?

Can l simply just integrate the equation with respect to a variable t, hence:

z' = 7y + c ?

Thanks

Yes - as long as ' indicates differentiation w.r.t. 't'.