I need this equation's analytical solution with this non-homogenous boundary conditions =07 , 0 x L,120 where a = 0.013 L=1 Initial condition T(z,0) = 0 BCs are 70, t > 0) = 50 TL,t50
Find the laplace transform of t(0<t<2). I was able to get to L(tu(t)-tu(t-2)) but according to a solution manual the next step would be this. L(tu(t))-L((t-2+2)u(t-2)). I am confused how they deduced this step.
I need solution for Problem 2 FL = 0 pinned u(0) 0 Consider a cable loaded statically by a sinusoidal distribution of transverse load q = qsin (프 with 50, L 10. The prestressing force is P = 30 qL. The left-hand end is pinned, and there's no force applied at the right-hand end. Compute the approximate solution for the deflection of the wire from the Galerkin formulation. Consider a one-term approximation with the test function η1-x, and the basis...
Find solution to the IBVP PDE BCs Ic u(0, t)-0, 0<oo l u(1, t) 0, 0<t< oo u(z,0)=x-x2ババ1
Kernel and image proofl inear algebraI don't understand the solution L(0v)=0w if i put L(v3)=0w is it ok or not why it has to be L(0v)=0w?? is it because one to one 0 has to be mapped to 0??? A linear transformation L: V → W is said to be one-to-one if L (v1) = L (v2) implies that v1 = v2 (i.e., no two distinct vectors v1, v2 in V get mapped into the same vector w ∈ W)....
31 The beam deflective curve equation for sections 0 <I<L and L<I<L, The beam deflection dc at the mid-point of the beam where I = LL (12) (5) Total Marks: (25) Hints for Question 3 1) The bending moment M(x) for the beam AB may be simplified to two separate expressions for cach of the sections such that M (3) 90 24L L40 (51°c – 12x®L+8x"), for 06135 (-2+L), for ££<3<1 M2(x) 24 QUESTION 3 Consider a simple beam AB...
how do I prepare the 100mg/L of asprin acetaminophen and caffeine solution and dilute that solution with 1a% acetic acid to creat 50, 10 and 5mg/L solutions Preparation of Standards: Using a 100ML volumetric flask and 1 % acetic acid solution (prepared in hood from glacial acetic acid using a 1000mL beaker and 10mL graduated cylinder), prepare and label a stock solution of 100 mg/L each of aspirin, acetaminophen, and caffeine combined together in a single volumetric flask. Using appropriate...
** Lon u. that the solution to the heat conduction problem aug , 0<<L t > 0 u(0,t) - 0, u(L,t) = 0 (u(a,0) = f (3) is given by u(3,4) – È che+n*/2°' sin (182), – Ž Š 5(2) sin (%), vnen. Explicitly show by substitution that this function u(x, t) satisfies the equation aus = U, and all of the given boundary conditions. Note: You can interchange/swap sums and derivatives for this function (that doesn't always work!).
l. Find the general solution: (a) r" -4x +4x-0 (b) "-2r (c) 0. (d)4r' +3r-0
need help with #3 L. (3Upts) Consider the following ivp I)(24), 2(0) = 1.5. ut show that this ivp has a unique solution that exists everywhere on (-00, oo). Sk etch the graph of this solution with explanations (monotonicity, concavity,..) ow that the following initial value problem has a unique solution that exists for all t. cos(a) cos(et), a" +sin(a") cos(a') i r(0)-1, r"(0) = 0 . 4. (30 pts) Consider the following ivp r, y, 2x + y +...