Homework Statement
Find the general solution for the following systems of equations, a solution to the
initial value problem and plot the phase portrait.
--> this is in matrix formx' =
1 2
0 3
all multiplied by x.
also, x(0) =
2
-1
Homework Equations
Determinant, etc.The Attempt at...
Wow never mind I just figured it out by myself a few minutes after posting this! I didn't really understand how these derivatives worked but now I understand that the ∇ = ∂/∂x + ∂/∂y + ∂/∂z also has cartesian i, j, and k and you just match that up with the original and derive accordingly. Got...
[SIZE="5"]Figured it out! No need to answer. Thanks!
Homework Statement
Hey all, I have a question right at the beginning of my fluid mechanics book but it mostly focuses on calculus at this point. This question in particular is all calculus.
a = xyi + y2j + 2k
∇ = ∂/∂x + ∂/∂y +...
So what it is asking for is basically the tension in the rope? If so, that is easy.
Fc = Ft - Fg
Solve for Ft.
The word "total" was throwing me off. I was convinced it meant Net force or something.
Homework Statement
A 25 kg child is on a swing, which has a radius of 2.00 m. If the child is moving 4.0 m/s at the bottom of one swing, what is the centripetal force exerted by the ropes of the swing on the child? What is the total force exerted by the ropes when the swing is at its lowest...