Recent content by perlawin

Homework Statement y"+xy'=cos(2x), y(0)=1, y'(5)+2y(5)=10 Homework Equations The Attempt at a Solution I am trying to solve this using matlab. I split the 2nd order d.e. into 2 first order d.e.'s. I set y1=y, and y2= dy/dx. Thus dy1/dx=y2 and dy2/dx= cos(2x)-x*y2. Then dy/dt=...

[b]1. True or false (show work): For all bounded functions: (L) ∫_a^b▒f(x)dx≤∫_a^b▒f(x)dx≤(U)∫_a^b▒f(x)dx [b]2. (L) ∫_a^b▒f(x)dx= sup{L(f,P) s.t P is a partition of [a,b]} (U)∫_a^b▒f(x)dx= inf{U(f,P) s.t. P is a partition of [a,b]} [b]3. I am sure that this is true. What I...

[b]1. If abs(f) is Riemann integrable on [a,b], then f is Riemann integrable on [a,b]. True or false (show work) [b]2. A function f is Riem Int iff f is bounded on [a,b], and for every epsilon>0 there is a partition P of [a,b] s.t. U(f,P)-L(f,P)<epsilon [b]3. I believe that this...