The way to solve these two second order differential equations is very simple. I am solving them in details below.
Now, we have been given one initial condition that , so, we see that . Next, we have to do the integration another time with respect to t, as is done below:
(Answer)
where, is another constant which can be determined from another initial condition, if given.
The next one is:
Now, we have been given one initial condition that , so, we see that . Next, we have to do the integration another time with respect to t, as is done below:
(Answer)
where, is another constant which can be determined from another initial condition, if given.
And Done! Cheers!
Need help solving these two second order differential equations, the picture below are the answers to...
6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit around two much heavier bodies. An example would be an Apollo capsule in an Earth-moon orbit. The three bodies determine a two-dimensional Cartesian plane in space The origin is at the center of mass of the two heavy bodies, the r-axis is the line through these two bodies, and the distance between their centers is taken as the unit. Thus, if μ is the...
Differential Equations with MATLAB/Plotting first order differential equations in Matlab/ Differential Equations MATLAB/IVP Matlab/IVP I'd really appreciate if I can get some help plotting these 3 first order differential equations as well as their comments. PLEASE! ANYTHING HELPS, I am very stuck :( EZplot and ODE 45 were mentioned in class and the instructions in class were not clear at all. Given the first order differential equation with initial condition. dy/dt = y t, y(0)=-1 Complete problems 1-3 in one...
write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations. Implementation: MatLab is an ideal environment for solving differential equations. Differential equations are a vital tool used by engineers to model, study and make predictions about the behavior of complex systems. It not only allows you to solve complex equations and systems of equations it also allows you to easily present the solutions in graphical form....
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(USING MATLAB) Given two differential equations X= sin(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) And Y = cos(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) where 0<t<20pi is a vector of 5000 points created by using (linspace) command : Write script to plot X and Y with red color ?
this is differential equations practice problem part d should be t = 0, thank you in sdvancdd! 1. An object of mass m is fired vertically upward with an initial speed of vo. Suppose the air resistance is proportional to the square of velocity. Let k > O be the constant of proportionality. Use g as the acceleration due to gravity. Let v(t) be the velocity at time t. a) Write down the differential equation in effect for v(t) until...
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These questions are to be answered using MATLAB. I only need #3 answered, but #1 provides information (like initial velocity, etc.) required for the questions. I think I have it done, but I'd like to see if there are other ways to use MATLAB for this question. PROJECTILES The distance a projectile travels when fired at an angle 8 is a function of time and can be divided into horizontal and vertical distances. Horizontal (1) = 1.V.cos(0) Vertical(t) = 1•...