1st- & 2nd-order differential eqns: ds/dt= u-gt, 60 d^2x/dt^2 + 500dx/dt + 900x = 0
i have been out of uni due to an operation and I have an exam coming up and have been completing past papers for revision, but i have gotten stuck with two equations and really dont know what to do, any help would be greatly appreciated as my course leader still hasnt replied.
the first equation is: ds/dt= u-gt i have to use separation of variables to determine a solution for s with respect to t, i know i need to get the s on one side and t on the other and integrate but have no idea where the u goes as i have not done one like this before.
the second is a second order and is 60 d^2x/dt^2 + 500dx/dt + 900x = 0
i need to find a general solution and i had started by using k to generate a quadratic but then couldnt get any further.
please any help is appreciated greatly as im awful at this
i have been out of uni due to an operation and I have an exam coming up and have been completing past papers for revision, but i have gotten stuck with two equations and really dont know what to do, any help would be greatly appreciated as my course leader still hasnt replied.
the first equation is: ds/dt= u-gt i have to use separation of variables to determine a solution for s with respect to t, i know i need to get the s on one side and t on the other and integrate but have no idea where the u goes as i have not done one like this before.
the second is a second order and is 60 d^2x/dt^2 + 500dx/dt + 900x = 0
i need to find a general solution and i had started by using k to generate a quadratic but then couldnt get any further.
please any help is appreciated greatly as im awful at this