okay now i have differentiated it with respect to r i get 2V2r/R^2) or -(4Vr/R^2) thanks again i was then required to use the wall shear stress to determine the frictional force but it is very straight forward from there
Homework Statement
having problems differentiating
Homework Equations
Tw ( wall shear stress)= -U(viscosity)*du/dr
been given u as 2V(1-(r/r)^2)
The Attempt at a Solution
i substituted u in and got
d/dr (2V(1-(r/r)^2)
i tried to multiply out the minus sign and 2V and got...
thank you all for your help i finally worked it out, i have a better understanding using the substitution method hallsofivy i still need to practice a few more problems to be confident in my ability to solve the type of DE using the Intial condition i got y= sqrt (6x+4) -2x-1 quite happy...
i will take a look at the book ackbeet as i know this is something i am going to have to apply consistently to completely comprehend this type of problem
at the moment none i thought about doing something with the y+2x and using a u substitution but noticed the signs were different so i am just lost currently and i wasn't sure if that is even applicable in this situation
yes i thought that was the way but i just don't seem to get the answer my tutor has given i can get one of the numbers the 3e^2t but i can't find 3cosht and 4sinht
Homework Statement
find the partial fractions and thus the inverse of the following
6s^2-2s-11/(s-1)(s^2-1)
and
7s^2+8s+16/(s+2)(s^2+3)
Homework Equations
answer tutor gave for the fist one was 3e^2t + 3cosht + sinht
and second was 4e^-2t+3cos sqrt3t+ 2/sqrt3 sin sqrt3
The...