Recent content by glid02

1. Second order diff eq with two variables

wow, yeah, that's all I had to do. Thanks a lot.
2. Second order diff eq with two variables

I think the two different solutions have to be independent of each other - or not be multiples of each other. I'll give it a shot and see what happens though. Thanks.
3. Second order diff eq with two variables

Here's the problem: x^2y''-3xy'-12y=0 with initial conditions y(1)=0 and y'(1)=7 I'm supposed to solve for y in the form y=c1y1+c2y2 y1 = x^6 by inspection Now to solve for y2 y2=y1v v can be solved for by the equation y1v''+(2y1'+py1)v'=0 where p is the function in front...
4. Second order diff eq with i

Crap, nevermind, I left b^2 out of the quadratic formula, thanks anyways. Here's the question: Find y as a function of t from the diff eq: y''+6y'+25y=0 with the initial conditions y(0)=8 and y'(0)=8 I used the form r^2+6r+25=0 to solve for r and through the quadratic equation got r =...
5. Velocity and acceleration from a position equation

yeah, I'm half retarded. I needed to make y a function of t and go from there. Thanks.
6. 2 Fluid Questions

For the first question you should draw a freebody diagram and from there you can get the net force acting on the sphere: buoyant force - weight. For the second question I think the circular diameter is best described by a donut, from the inside to the outside is 5.6 mm. The total weight of...
7. Velocity and acceleration from a position equation

Here's the question: A particles position is defined by the equation x=y^2/6 and it moves at a constant velocity in the y-direction of 3 in/s. Find the velocity and acceleration when x=6 in. I know v=sqrt(vx^2+vy^2) and a is found the same way, but I have absolutely no idea how to find the...
8. Solution to 2nd order diff eq

Never mind, I figured it out. Here's the question: Find the general solution to the homogeneous differential equation https://webwork.math.uga.edu/webwork2_files/tmp/equations/59/540a7a16e5c4e841a098d9d2a72f0a1.png The solution has the form...
9. Quick strengths question

Yeah, that helps. I'll give it a shot and you'll hear back from me if I still can't get the right answer. Thanks.
10. Quick strengths question

I'm supposed to find the deflection of a beam. It's steel with a brass shell, so they have different values for E. How do I do this problem using PL/AE. Intuitively I think I should take the average, but I have no idea if that's right or not. Thanks. I should probably give some more...
11. Growth problem

If I had I'd forgotten it. I should be able to solve from here (again). Thanks again for helping.
12. Growth problem

You lost me with the collecting. Can you give me another example?
13. Growth problem

OK I lied, I'm still not getting the right answer. dP/P(7-P)=6/700dt 1/7log(P)-1/7log(7-P)=6t/700+c log(P)-log(7-P)=6t/100+c Using e P-7+P=e^(6t/100)+c P=(e^(6t/100)+7)/2+c P(0)=3 so c=-1 Subbing 66 for t, I get 28.729 Still not right, what am I doing wrong now? Thanks again.
14. Growth problem

Yeah, I can solve that. Didn't think to seperate variables for some retarded reason. Thanks for the help.
15. Growth problem

Here is the first question: A population P obeys the logistic model. It satisfies the equation https://webwork.math.uga.edu/webwork2_files/tmp/equations/11/02d0a645c053f1f6002d746c78143f1.png Assume that P(0)=3. Find P(66) First I multiplied both sides by dt and integrated, giving...