Recent content by omar yahia

indeed , it is probably a typo , i think i'll just skip it i appreciate it that you replied , thank you :)

in the trapezoidal rule is it ok to use a number of segments that is not integer ? i ask this because in an exam i had , i was asked to use a step of h=0.4 and the interval was from x=1 to x=2 and you know that ," h " is the step ," n " is the number of segments , "a" and "b" are the limits...

:smile: ummmmmm ... ahhhh .. actually ... when you asked me to show the results i went to prepare them for uploading and as i was rewriting the solution i discovered an extra (2) multiplied in one little tiny term , will i fixed it and went on , and the results were the same indeed , i am...

i was trying to get a particular solution of a 3rd order ODE using the variation of parameters method the homogeneous solution is yh = c1 e-x + c2 ex + c3 e2x the particular solution is yp=y1u1+y2u2+y3u3 as u1=∫ (w1 g(x) /w) dx , u2=∫ (w2 g(x) /w) dx , u3=∫ (w3 g(x) /w) dx w =...

ohh ! i have just noticed when i was trying the solution the characteristic equation should be r^2 -4r + 10 =0 +10 not +4 , right ?

indeed , as long as i don't have a "master key" method that i can apply to all different kinds of DE's i will have to use guessing sometimes

thank you very much sir for your time and for this detailed explanation :)

indeed , :) thank you a lot , one more thing please , this is a quote from Paul's Notes on reduction of order "Reduction of order requires that a solution already be known. Without this known solution we won’t be able to do reduction of order. " but the in this problem i wasn't given any...

{ i feel that this is Not a smart question and that it is about the basics of something , but i tried to find the that "something" to know about it myself but i couldn't , as i couldn't name the issue , so i couldn't know what to search about that is why I'm asking here in a forum , so please...