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du Consider the following Ordinary Differential Equation (ODE): = 2.5 + + +0.5 210 - 2.y?...
PLEASE PLEASE,ONLY ANSWER THIS QUESTION IF YOU COULD GIVE ME THE MATLAB CODE.THANK YOU. Consider the...
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...
Consider the following Ordinary Differential Equation (ODE): dy = 0.3 * x2 + 0.04 * 26...
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...
Question 4 Not yet answered Marked out of 1.5000 Flag question Consider the following Ordinary Differential...
Question 4 Not yet answered Marked out of 1.5000 Flag question Consider the following Ordinary Differential Equation (ODE): dy dx = 4.0 * ** + 2.56* *10 - 4 * y? with initial condition at point Xo = 0.75: 3b = 0.1898 Apply Runge-Kutta method of the second order with h = 0.1 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...
d'yi dạy1 Yi = 0.5 Consider the following Ordinary Differential Equation (ODE) for function yı (2)...
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,...
3. Consider the following stiff system of autonomous ordinary differential equations du f(u, u) =-3u +3,...
3. Consider the following stiff system of autonomous ordinary differential equations du f(u, u) =-3u +3, u(0)2 = ' dt de g(u, v) -2000u - 1000, v(0)-3 Note that 1 u<2 and -4 <v < 3 for all t. (a) Find the Jacobian matrix for the system of equa tions (b) Find the eigenvalues of the Jacobian matrix. (c) In the figure the shaded region shows the region of absolute stability, in the complex h plane, for third order explicit...
dy: 2 Consider the following Ordinary Differential Equation (ODE) for function yı(z) on interval [0, 1]...
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...
ďyi dx dx 1 Consider the following Ordinary Differential Equation (ODE) for function yı(x) on interval...
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...
Differential Equations for Engineers II Page 2 of 6 2. Consider the nonhomogeneous ordinary differential equation...
Differential Equations for Engineers II Page 2 of 6 2. Consider the nonhomogeneous ordinary differential equation XY" + 2(x – B)y' + (x – 2B)y = e-1, x > 0, (2) 5 marks where ß > 0 is a given constant. (a) A solution of the associated homogeneous equation is yı = e-*. Use the formula for the method of reduction of order, as described in the lecture notes / record- ings, to find a second solution, y2, of the...
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...
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...
Question 4 Not yet answered Marked out of 1.5000 Flag question Consider the following Ordinary Differential Equation (ODE): dy dx = 4.0 * ** + 2.56* *10 - 4 * y? with initial condition at point Xo = 0.75: 3b = 0.1898 Apply Runge-Kutta method of the second order with h = 0.1 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...
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,...
3. Consider the following stiff system of autonomous ordinary differential equations du f(u, u) =-3u +3, u(0)2 = ' dt de g(u, v) -2000u - 1000, v(0)-3 Note that 1 u<2 and -4 <v < 3 for all t. (a) Find the Jacobian matrix for the system of equa tions (b) Find the eigenvalues of the Jacobian matrix. (c) In the figure the shaded region shows the region of absolute stability, in the complex h plane, for third order explicit...
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...
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...
Differential Equations for Engineers II Page 2 of 6 2. Consider the nonhomogeneous ordinary differential equation XY" + 2(x – B)y' + (x – 2B)y = e-1, x > 0, (2) 5 marks where ß > 0 is a given constant. (a) A solution of the associated homogeneous equation is yı = e-*. Use the formula for the method of reduction of order, as described in the lecture notes / record- ings, to find a second solution, y2, of the...
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