Homework Statement
y'' + 9y = 2x2e3x + 5
Homework Equations
N/A
The Attempt at a Solution
I think the complementary solution yc = c1cos(3x) + c2sin(3x).
If not for that little +5 at the end of the right hand side, I'm pretty sure I could solve it. But I don't know how to include it in my...
The Problem:
3y2y' + y3 = e-x
I think maybe I'm supposed to use something to do with the Bernoulli stuff, but I'm not sure. I've tried to figure it out for a while now and I'm stuck.
Thanks for any help you can give.
Homework Statement
A rope passes over a 10-cm-diameter, 2.0 kg pulley that rotates on frictionless bearings. A graph shows the pulley's angular velocity as a function of time. The graph increases from (0,0) up to (3,120) linearly. Basically, there is a pulley with a rope thrown over it such...
Homework Statement
There is a sign of mass M that is attached to a rigid bar perpendicular to the ground. There is also a rope attached to the sign at the same point, then pulled out at an angle 45 degrees below the horizontal up to the ceiling.
a) Consider the rigid bar to be at...
Homework Statement
Two pendula are suspended on 70cm strings connected at the same point on a ceiling. The mass on the left is 45g and is held so the string makes an angle of 10 degrees with the vertical. The mass on the right is 65g and is held in the opposite direction so the string makes...
Ok, part two of your description I can get no problem. How do I resolve the weight/find the x and y components as you described in part one of your answer?
Homework Statement
Part A) A car drives over a circular hill (hill radius is r). Is there a maximum speed that the car can have and still remain in contact with the road? If not, why not. If so, find an expression for the maximum speed.
Part B) Now, the car (with mass = 1000kg) enters a...
Homework Statement
A small block is placed at height h on a frictionless, 30 degree ramp. Upon being released, the block slides down the ramp and then falls 1.0m to the floor. A small hole is located 1.0m from the end of the ramp. From what height h shold the block be released in order to...