Recent content by invisible_man

y''' + y' = tan(t) 0<t<pi I got yh = c1 + c2cos(t) + c3sin(t) I'm trying to solve by Undetermined Coefficient method and Variation of Parameters method, but it didn't work

how can i connect (n+1) n+1 to 2 n+1. Can you show me how

Homework Statement Prove: n3 <= nn, n >= 10 Homework Equations The Attempt at a Solution Prove by induction on n. i) 1 = 1 1 < 2 ii) n +1 claim (n+1)3 <= 2n+1 , n >=10 I don't know how to induct with n+1, when n >=10

The Laplace Transform of ty' = -L[y]'

y'' - ty' + y = 1, y(0) = 1, y'(0) =2 I'm trying to solve by Laplace Transform and I got stuck at the end.Anyone can help me to solve it?

This is not really my homework assignment. It's my practice exam. I don't know how to do it

Compute L[(t-3)u2(t) - (t-2)u3(t)] I come up with using unit step function but I don't know how to solve it

Let R be an ordered Ring. Assume R+ is well-ordered Prove: a) min(R+) = 1. b) R is an integer ring

Let S be a set on which a linear order <= (less or equal) , is defined. Show that a non-empty finite subset has a max.

change to the sphendrical coordinate

what is your question? take that integral or what? type it out your problem and question so I can understand it

i don't get it

Oh dear, x = sqrt(x) * sqrt (x)

you have the integral of x / sqrt(x) = integral of sqrt(x). integral of sqrt(x) = 2/3 * x^3/2

you got wrong in "my working" . x is variable. so you can't take it out of the integral. 2sqrt(h) is constant so you can take to the front. 1/2sqrt(h) * integral sqrt(x) dx from 0 to h. = 1/2sqrt(h) * 2/3 * x^3/2 and evaluate at x = h. = 1/2sqrt(h) * 2/3 * h sqrt(h) = h/3