Recent content by lance

by the way x=xc +xp where xp=7/2*t+0.75 and xc=c1+c2e^2t y of course is separated similarly.

I would be leary of your complimentary solution as a first order system should usually be exponential not trigonometric. I will help you to find the complete solution, (complimentary + particular) you'll want to use eigenvalues and vectors to "decouple" the equations the way I solved it...

unless you are actually trying to model some sort of physical material (ie a rod made out of steel), you can choose any numerical value you want for your stiffnesses. The point of finite element analysis, is to take the governing differential equation of a system and solve for its weak form...

non-linear equations are quite difficult to handle. there is no straightforward analytic tool. there are a few options however: -if the equation you are trying to solve is a model of a physical phenomena, you might try to make some assumptions to simplify it. i.e. you could linearize the...

The particular solution often times solves the equation for the forcing function, while the homogeneous solution is the steady-state solution of the equation. if you are dealing with homogenous ode, the particular solution and the homogeneous solution are one in the same. so everyone is...

I hate to break it to you, but calculus came into existence for the express purpose of use in physics. if you don't understand parts of calculus, it just means you haven't done enough physics. I would suggest you take a multivariable calc course, because it is the first calc course in our dismal...

so, the general plan is: -differentiate once with respect to x -evaluate the expression @x=2 -solve for f '(2) -differentiate again with respect to x -evaluate the new expression @x=2 -solve for the only unknown f ''(2) a tip: d/dx[ f(x)^4 ] = 4*f '(x)*f(x)^3 so the first...