6-6
6-17
6-18
please help me, how could solve these problems
6-6 6-17 6-18 please help me, how could solve these problems In chemical kinetics and other...
please solve problems 1 & 4 & 13 & 17 Review exercise 21 Solve the following: dx2 dx dx2 0 dx For the o given that at t = t, 2 13 Obtain the general solution of the equation dy and determine the amplitude and frequency of the steady-state function [Note: The steady state function describes the behaviour of the solution as t00] 14 Solve the equation dx dx given that at t = 0, x = 0 and =...
Verify the following using MATLAB 2) (a) Consider the following function f(t)=e"" sinwt u (t (1) .... Write the formula for Laplace transform. L[f)]=F(6) F(6))e"d Where f(t is the function in time domain. F(s) is the function in frequency domain Apply Laplace transform to equation 1. Le sin cot u()]F(s) Consider, f() sin wtu(t). From the frequency shifting theorem, L(e"f()F(s+a) (2) Apply Laplace transform to f(t). F,(s)sin ot u (t)e" "dt Define the step function, u(t u(t)= 1 fort >0...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
can someone help me with 53 and 54. if you can, please show your work so I can understand Exer. 51-54: Refer to the graph of the equation on the specified interval. Find all values of x such that for the real number a, (a) y = a, (b) y > a, and (c) y <a. 51 y = sin x; [-277, 27]; a = 52 y = cos x; [0, 477]; a = 13/2 53 y = cos x;...
I need help with how to solve these simultaneous equations. Could someone please show me the steps to get to the answer. Sum of forces in the x direction is zero i.e. FCD COs 33.69"-FAD COS 33.69"-FDE COS 33.690-0 54.08xcos 33.69 - FAD coS 33.69 F cos 33.69... .(5) Sum of forces in the y direction is zero i.e FRD +Fcn sin 33.69" + FAD sin 33.69 - FDE sin 33.690 -20-54.08x sin 33.69" + FD sin 33.69-Fg sin 33.690...
Could someone show me how to solve this: Find the maximum and minimum values attained by the function f along the path c(t). f(x, y) = xy; c(t) = (cos(t), sin(t)); 0 lessthanorequalto t lessthanorequalto 2n maximum value minimum value f(x, y) = x^2 + y^2; c(t) = (cos(t), 3 sin(t)); 0 lessthanorequalto t lessthanorequalto 2 pi maximum value minimum value
6. Solve the initial value problem y" + y = 0, y(0)=0, y'0=1 (a) -COS X (b) -sin x (c) -sin x + cos x (d) -sin x COS X (e) COS X (f) sin x (g) sin x-COS X (h) sin x + cos x 7. Find a particular solution yn of the differential equation (using the method of undetermined coefficients): y + y =p2 (a) 2e (b) 3e (c) 4e: (d) 6e (e) 2/2 (f) e2/3 (g) e2/4...
can i have a step by step of 1, 3, and 5 please In Problems 1-6, determine whether the given equation is separable, linear, neither or both. dx 1. +xt = ex 2. 2dy +sin x y = 0 dt dx 3. 3t e'+ y ln t 4. (t+ \ dt yt - y dy Srortar dr 5. 3r = de vorla (d) dx TU6. x +Px = sin t dt 03
2. Consider the following initial value problem for the wave equation, modeling a vi- brating string with fixed endpoints. au = 922 u u(t,0) = u(t, 7) = 0 u(0,x) = 8 sin(x) sin(2x) sin(3x) (Ou(0,2) = 9 sin(6x) (a) What is the length L of the string? What is the value of the constant c= T/p? (b) Write down the solution of this initial value problem. (Hint: You might find the following identities helpful.)! cos(a + b) = cos...
This is Differential equations, please help me, solve and show step by step. MAT 204 Elementary Differential Equations 1. A mass-spring-dashpot system is described by my" + cy' + ky = Fo coswt, see $3.6 Eq. (17). This second-order differential equation has been used in simulations, such as this one at the PhET site: https://phet.colorado.edu/en/simulation/legacy/resonance. = 48.6 N, and w will be For m = 2.53 kg, c = 0.502 N/(m/s), k 97.2 N/m, Fo = 97.2 x 0.5 N...