Please answer all parts with full & clear solutions so I can understand :)
Please answer all parts with full & clear solutions so I can understand :) 2. Consider...
d'yi dạy1 Yi = 0.5 Consider the following Ordinary Differential Equation (ODE) for function yı (2) on interval [0, 1] dyi +(-4.9) * + 7.9 * +(-4.2) * yı(x) = -0.2 - 1.0-2 dx3 d.x2 dc with the following initial conditions at point x = 0: dy1 dạyi = 2.48 = 6.912 dc d.2 Introducting notations dyi dy2 day1 Y2 = y3 = da dc d.x2 convert the ODE to the system of three first-order ODEs for functions yi, y2,...
ďyi dx dx 1 Consider the following Ordinary Differential Equation (ODE) for function yı(x) on interval [0, 1] dyi dyi +(-4.7) * + 4.4 * +(-0.7) * yı(x) = -0.216. el.1-x dx dx2 with the following initial conditions at point x = 0: dyi dayı Yi = -0.316, = 6.2424, = 22.3846 dx2 Introducting notations dyi dy2 dy1 Y2 = Y3 = dx2 convert the ODE to the system of three first-order ODEs for functions yi, Y2, y3 in the...
PLEASE PLEASE,ONLY ANSWER THIS QUESTION IF YOU COULD GIVE ME THE MATLAB CODE.THANK YOU. dyi y = 2.5. dy Consider the following Ordinary Differential Equation (ODE) for function yı(a) on interval [0, 1] dyi dayı dyi d3 + (-3.3) * + 2.9 * + (-0.6) * yı(20) = 0.0 dar2 da with the following initial conditions at point x = 0: dayı = 8.86 = 18.248 dar dra Introducting notations dyi dy2 y2 = da da d2 convert the ODE...
Hi, I need the full worked solution/explanations for all parts of this questions please. The final answers to each part are shown below the question. Clear handwriting is greatly appreciated. Thank you! :) Question 5 (a) Solve the eigenvalues and its corresponding eigenvectors of a 2x2 matrix given by 2 0 (8 marks) For the system of differential equations, Зх — у ў 2х + 6е ". (b) Write and explain the system of differential equations in matrix form. (2...
dy: 2 Consider the following Ordinary Differential Equation (ODE) for function yı(z) on interval [0, 1] +(-10,3) dayi dy + 28.06 + (-16.368) + y(x) = 1.272.0.52 with the following initial conditions at point a = 0; dy 91 = 4.572 = 30.6248 = 185.2223 dar Introducting notations dyi dy2 dy dar dar dir? convert the ODE to the system of three first-order ODEs for functions y1, y2, y3 in the form: dy dar fi (1, y1, ya, y) dy2...
5. Consider the system of differential equations yi = y1 + 2y2, y = -41/2 + y2 with initial conditions yi(0) = 1, y2(0= 0. This has exact solution yı(t) = exp(t) cos(t), yz(t) = - exp(t) sin(t)/2. (a) Apply Euler's method with h=1/4 and find the global truncation error by comparing with the exact solution over the interval [0, 1]. (b) Apply the RK4 method with h=1 and find the global truncation error by comparing with the exact solution...
Please write neat so I can read and understand the problem. (1 point) In this exercise we consider finding the first five coefficients in the series solution of the first order linear initial value problem 3y" - xy + 4y = 0 subject to the initial condition y(0) = 3, y'(0) = 2. Since the equation has an ordinary point at x = 0 and it has a power series solution in the form y= 2" We learned how to...
Please answer all parts with full, clear solutions so i can understand :) :) Q2 (6 points) If C is a smooth plane curve with parametrization r r(t),t E [a, b], then the curvature K(t) of C at the point r(t) is defined to be the magnitude of the rate of change -ll dT of the unit tangent vector with respect to the arc length. That is, = ds () [2p] Show that K(t) = ||F (C) xr" (t)|| r...
PLEASE ONLY ANSWER THIS QUESTION IF YOU COULD GIVE ME THE MATLAB CODE.THANK YOU. THIS IS THE FULL QUESTION GIVEN. dyi Consider the following Ordinary Differential Equation (ODE) for function yı (2) on interval [0, 1] dayi dyi +(-9.7) * + 28.64 * dr3 d. 2 dar + (-23.828) * yı (x) = -5.18 0.9-2 with the following initial conditions at point x 0: dyi dy yi = -4.98 = 1.168 26.8052 dar Introducting notations dyi dy2 dayı Y2 =...
Please answer all parts with full & clear solutions so I can understand :) 5. If B and C are square matrices, then prove the following properties: (a) If B and C commute, then Bect = et B. (b) eCBC-? = CeBC-1.