Question 4 Not yet answered Marked out of 1.5000 Flag question Consider the following Ordinary Differential...
Consider the following Ordinary Differential Equation (ODE): dy = 0.3 * x2 + 0.04 * 26 – 4* y? dx with initial condition at point 20 = 0.6875: yo = 0.0325 Apply Runge-Kutta method of the second order with h = 0.125 and the set of parameters given below to approximate the solution of the ODE at the three points given in the table below. Fill in the blank spaces. Round up your answers to 4 decimals. Yi 0.0325 0.6875...
PLEASE PLEASE,ONLY ANSWER THIS QUESTION IF YOU COULD GIVE ME THE MATLAB CODE.THANK YOU. Consider the following Ordinary Differential Equation (ODE): dy = 3.0*** + 1.08 * 210 – 3* y2 dat with initial condition at point xo = 0.375: Yo = 0.0044 Apply Runge-Kutta method of the second order with h = 0.25 and the set of parameters given below to approximate the solution of the ODE at the three points given in the table below. Fill in the...
du Consider the following Ordinary Differential Equation (ODE): = 2.5 + + +0.5 210 - 2.y? with initial condition at point o = 0.375: 300.0037 Apply Runge-Kutta method of the second order with h = 0.25 and the set of parameters given below to approximate the solution of the ODE at the three points given in the table below. Fill in the blank spaces. Round up your answers to 4 decimals. M 0.375 0.0037 0.625 0.0497 0.875 1.125 1.375 Parameters...
3. (a) Express the following ordinary differential equation and initial conditions as an autonomous system of first order equations: 2"-223z = 2, '(0)= 1 z(0) 0, (b) Consider the following second order explicit Runge-Kutta scheme written in au- tonomous vector form (y' = f(y)): hf (ynk kihf (yn), k2 yn+1 ynk2. IT Use the second order explicit Runge-Kutta scheme with steplength h compute approximations to z(0.1) and z'(0.1) 0.1 to _ 3. (a) Express the following ordinary differential equation and...
Question 3 døy Not yet answered Marked out of 2.0000 P Flag question Consider the following Ordinary Differential Equation (ODE) for function y(x) on interval [0, 1] dy dy + (-8.6) + 14.03 dx3 dx2 dx +(-2.47) + y(x) = 3.762 with the following initial conditions at point x = 0: dy y = 4.862, = 15.4696 = 77.4217 dx dx? Introducting notations dy dydy dx dx dx2 convert the ODE to the system of three first-order ODEs for functions...
Question 7 Not yet answered Marked out of 16.00 P Flag question For the following multistage amplifier, find V2 if Vo=40 V, V1=0.2 V, R1=8.4 K2, R2=9.0 K2, R3=1.1 K2, R4=1.0 K2, R5=9.0 K and RL=15.0 KO. RS R4 Vo 14 V1 min RL R3 Answer: Question 8 Not yet answered Marked out of 10.00 P Flag question Consider the same circuit as above, but with the following parameters: if Vo=40 V, V1=0.2 V, V2=0.5V, R1=11.3 KN, R2=9.8 K2, R3=0.9...
ME 32200 Programming course (MATLAB) 4. Please finish the following Matlab code for solving the ODE: dy = y(1+1) dt I.C. y(0) = 0 with the multi-step 4th order Milne's Method, and apply 4th order Runge Kutta method to the first 4 points (1 boundary point and the next 3 points). (Hint: 4th order Milne's Method Predictor: 7i+ = Y-3 +h(2f;- fi- +25,-2) Corrector: y = y + + +0. +45j + fi-) Where f; = f(t;,y,) and Fit =...
Question 4 Not yet answered Marked out of 1.0 Flag question Which of the following structures is a skeletal structure for 1,2-difluoro-6- bromoheptane? Select one: Br F. a. F Br Оъ. O c. Br F Br d. F enint Br е. L.
Please solve Q 7 & 8 7. 14+6 marks] Consider the initial value problem y_y2, 2,y(1) = 1 y'= 1-t (a) Assuming y(t) is bounded on [1, 2], Show that f(t,v)--satisfies Lipschitz condition with respect to y. (b) Use second order Taylor method with h 0.2 to approximate y(1.2), then use the Runge- Kutta method: to compute an approximation of y(1.4). 8. [4 marks) Assuming that a1, o2 are non negative constants, determine the parameters o and β1 of the...
Question 4 Not yet answered Marked out of 6.00 Flag question The axis of symmetry of f(x) = ax? + bx + c,a # 0, is – ža Select one: True False