Help to solve part 1 and refer to part 2 if needed using matlab.
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Help to solve part 1 and refer to part 2 if needed using matlab. 1. 2....
Use MATLAB’s ode45 command to solve the following non linear 2nd order ODE: y'' = −y' + sin(ty) where the derivatives are with respect to time. The initial conditions are y(0) = 1 and y ' (0) = 0. Include your MATLAB code and correctly labelled plot (for 0 ≤ t ≤ 30). Describe the behaviour of the solution. Under certain conditions the following system of ODEs models fluid turbulence over time: dx / dt = σ(y − x) dy...
PART C PLEASE!!! IF YOU KNOW HOW TO CODE MATLAB PLEASE HELP THANK YOU Write a Matlab/Python script which computes the trajectory of P according to the system of equations (1) and the corresponding (non-dimensional) range for given values of (α,φ,0), varying values of φ 0 Plot the trajectories for 6 values of φ 0 of your choice in the interval 0< φ0 π/2. Compute the corresponding range reached by each trajectory. Note: Special attention will be given to the...
I need to solve this using matlab. 2) Chemical-kinetics problems often lead to sets of coupled,firsorder ODEs. For example, consider the reaction network Assuming a first-order reaction-rate expression for each transformation, material balances for each species lead to the following set of ODEs dt dB dt dC dt Solve the set of ODE given above, with k,-5, k2-2, k,-1, A(0) concentrations versus time graph 1, B(0)-C-(0)-0. Plot and label the 2) Chemical-kinetics problems often lead to sets of coupled,firsorder ODEs....
Please write code in MATLAB. HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
Exercise 2. (20 points.] The Lorentz Attractor is a well-known example of a chaotic sys- tem, i.e. a system that can have radically different responses for arbitrarily close initial conditions. Its dynamic equations are = a(32-2) 22 = 26-23) - 12 which can be used to model a two-dimensional flow of liquid warmed from below and cooled from above. To study the system behavior, perform the following: a) Create the MATLAB function dx-Lorentz(x, a, b, c) to compute the derivative...
General Guidelines MATLAB Symbolic Computations are NOT allowed for this assignment. Generate ALL plots using MATLAB. Include your MATLAB codes as an appendix at the end of your document. All plots should be clearly labeled: provide a X-axes and y-axes labels, specify units as needed, add titles and legend as needed, add grids as needed, use different line stiles and/or symbols as needed. 6) Consider the CT signal X(t) = u(t)- r(t) +r(t-1), where r(t) = t.u(t). a) Derive the...
matlab INSTRUCTIONS Consider the spring-mass damper that can be used to model many dynamic systems Applying Newton's Second Law to a free-body diagram of the mass m yields the following ODE m습+8 +kx=F(t) (1) dt2 Where F() is a forcing function, Consider the case where the forcing function itself is a damped oscillation: Where F F(t)-Ae-Bt COS(wt) (2) For this activity we'll see how we can formulate this ODE for a solution using MATLAB that could be used to study...
PLEASE HELP SOLVE WITH MATLAB LANGUGE. Below are hints to the problem. THANKS A LOT!! 2 Coriolis Force In a rotating frame-of-reference,the equations of motion of a particle, written in co- ordinates fixed to the frame, have additional terms due to the rotation of the frame itself Consider such a rotating frame, with its origin at the center of rotation.In these coor- dinates, the equations of motion for a point-mass subjected to forces F, and F S m, are F(0...
using matlab thank you 3 MARKS QUESTION 3 Background The van der Pol equation is a 2nd-order ODE that describes self-sustaining oscillations in which energy is withdrawn from large oscillations and fed into the small oscillations. This equation typically models electronic circuits containing vacuum tubes. The van der Pol equation is: dt2 dt where y represents the position coordinate, t is time, and u is a damping coefficient The 2nd-order ODE can be solved as a set of 1st-order ODEs,...
Using Matlab, plot the following ultrasound pressure wave as a function of x for t = 1 P(t, x) = P_0 e^- x cos(omega t - beta x) Where alpha = 0.1 neper/m, where neper is a dimensionless quantity, beta = 1 rad/min, omega = 1 red/s, P_0 = 10 N/m^2. Submit your ".m" file as the resulting graph labeled appropriately.