Recent content by proximaankit

Homework Statement Four masses M in deep space are connected by four identical light springs with spring constant k and equilibrium length L. The four mass, four spring assembly is square and lies in a plane; all four masses are rotating with ω =√(k/M), in uniform circular motion about an axis...

Sorry for the confusion but here is what I was trying to do At the bottom of the hoop, as the hoop starts to rotate, that must mean that friction is causing the rotation. In my free body diagram I had. friction to left of point of contact and Normal up and weight down. Friction acting on the...

Homework Statement One afternoon, you are playing on a wooden basketball court with a hula‐hoop to amuse yourself. The hoop has a mass of 500g and a radius of 55 cm. After practicing a bit, you find that you can launch the hoop so that its plane is vertical, it isn’t rotating before it hits...

Homework Statement Solve the Cauchy problem ut =kuxx, x ∈ R, t>0, u(x, 0) = φ(x), for the following initial conditions. (a) φ(x)=1if |x|<1 and φ(x)=0 if |x|>1. Write the solutions in terms of the erf function. Homework Equations u(x,t)=∫G(x-y,t)*φ(y)dy from -∞, to ∞ where G(x,t) is...

Homework Statement Suppose that k(t) is a continuous function with positive values. Show that for any t (or at least for any t not too large), there is a unique τ so that τ =∫ (k(η)dη,0,t); conversely any such τ corresponds to a unique t. Provide a brief explanation on why there is such a...

Homework Statement Verify that, for any continuously differentiable function g and any constant c, the function u(x, t) = 1/(2c)∫(x + ct)(x - ct) g(z) dz ( the upper limit (x + ct) and lower limit (x - ct)) is a solution to the PDE utt = c2uxx. Do not use the...

Yes I agree to but do you think they do the Fourier series and decomposition in a regular differential equations (Math 221 at my university). Also how important is complex eigenvalues.

In the high school DiffEq class these were the following topics that I covered: First Order (no Picard Methods, or Ricatti and Clairaut equations) and their applications Higher Order Differential Equations and their applications Cauchy-Euler Equation, Power Series Solution Laplace...

Oh by the it looks like my university refers to ODE as the mathematically rigorous version of (non-partial) differential equation. Here is the description for the actual ODE (which is higher than differential equation and pde. Math 430 Ordinary Differential Equations I: Picard existence...

Well back in my high school Differential Equations it was dual enrollment class (which I did not pay for at the time) and so you would get the credit at a state university. Also looking at the college description describes pretty much what I did: "First- and second-order methods for...

Hey everyone I am going to be a freshman this fall (in college). I am currently having a dilemma in choosing my math class. In high school I took classes all the way up to Honors Differential Equations (ODE). In June I went to the university and signed up for Ordinary Differential Equation...