A short test: The final velocity is reached, when the acceleration is 0: accel = (T - 200 - (cd * 1.225 * v_end ^ 2 * A)) / 1000 = 0 ==>, v_end = sqrt((T - 200) / (cd * 1.225 * A)) = 89.4427. Unable to complete the action because of changes made to the page. function f=fun1(t,y) f=-t*y/sqrt(2-y^2); • Matlab has several different functions (built-ins) for the numerical solution of ODEs. Then "maybe" a simple Euler method is enough. For instance, dx/dt = cos(t) - x. Find the treasures in MATLAB Central and discover how the community can help you! Reload the page to see its updated state. Unable to complete the action because of changes made to the page. Related MATLAB code files can be downloaded from MATLAB Central The most frequently used ODE solver in MATLAB and Simulink is ODE45. It is based on method published by British mathematicians JR Dormand and PJ Prince in 1980. [t,y] = ode45(@(t,y) k*y*exp(450/y), [0 300], 40); [~,y] = ode45(@(t,y) x*y*exp(450/y), tspan, y0); and the plot which belongs to this result looks like the boundary conditions are met (To be precise, it keeps the boundary conditions. For instance replace cos(t) with a set of data points that I load.
If speed matters, 1000 time points and linear interpolation might be better. These six slopes, linear combinations of them, are used to produce yn plus 1. ODE45 is so accurate that its default behavior is to use its interpolant to provide results at intermediate points. and now you add that 'maybe' (!?) And the little dots are filled in with the interpolant. Accelerating the pace of engineering and science. k is constant and y(0)=40 and y(15)=95 solve this equation by using ode45 can someone pleaseeeeeeeeeee check the code and make it work . Accelerating the pace of engineering and science. Oh, I misunderstood. Assume your table has the values Y at the points X. https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#answer_337069, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_611330, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_611335, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#answer_336917, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610622, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610625, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610628, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610631, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610633, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610635, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610640, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610641, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#comment_610642, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#answer_336919, https://au.mathworks.com/matlabcentral/answers/419103-ode45-differential-equation#answer_336920. By continuing to use this website, you consent to our use of cookies. Torque is roughly proportional to fuel (or battery charge) consumption. Hi, k is constant and MATLAB should calculate it from the 2 conditions, so can you please help. Opportunities for recent engineering grads. Accelerating the pace of engineering and science. The OP did not mentioned, if the homework question specified the kind of integration. And to see how accurate it is, we see that we're actually getting this result to nine digits. But I have a fondness for ode23.
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