How can I show that y(t)=Yo/Yo+(1-Yo)e^-at is the solution of the differential equation dy/dt=ay(1-y) using MATLAB. What function should I use?
if you want to simulate the results use the ode's family
https://www.mathworks.com/help/matlab/ref/ode45.html
else you can define your equation in syms and use diff
https://www.mathworks.com/help/symbolic/diff.html
other wise you can solve it numerically
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I want to solve the equation group like
\frac{dx_1(t)}{dt}&=(1-\int_0^t x_1(t) dt)x_2+x_1;
\frac{dx_2(t)}{dt}&=(1-\int_0^t x_2(t) dt)x_1+x_2.
Can I directly use the methods in Matlab to solve this problem? I tried ode45 but failed.
I am working on a heat exchanger and found these differential equations from a paper. I never had such equation as you can see even if it's a single order differential equation a term "dy" is always hanging at right side of the equation.
I am trying to solve them in matlab but due to dy, I am not able to put it into an equation.
Can anyone help me to simplify the equation or any help on how such type of equations can be solved in matlab?
These are the equations:
Look at Eqs (23) and (24). They specify the definitions of \dot{m}_p and \dot{m}_s so that when you plug them into Eqs (19) and (20) they lose the floating differentials.
I was wondering if anyone would tell me if it is possible to solve the coupled equations shown in the attachment using matlab?
I defined first the function of the three equations
function izero= coupled(z,x)
kappa=0.5;
izero=[-kappa*x(1)*(x(2)-x(3));-kappa*x(1)*x(2);kappa*x(1)*x(3)];
end
i want to use bvp4c however i do not have the boundary condition at z=0 for all of the three variables ?? What can I do?
Thank you
I have to analyze 802.11 saturation throughput using matlab, and here is my problem. I'm trying to solve parametric equations below (parameters are m,W,a) using solve function and i get
Warning: Explicit solution could not be found
How could I solve above equations using matlab?
I guess you were trying to find an analytical solution for tau and p using symbolic math. Unless you're really lucky with your parameters (e.g. m=1), there won't be an analytical solution.
If you're interested in numerical values for tau and p, I suggest you manually substitue p in the first equation, and then solve an equation of the form tau-bigFraction=0 using, e.g. fzero.
Here's how you'd use fzero to solve a simple equation kx=exp(-x), with k being a parameter.
k = 5; %# set a value for k
x = fzero(#(x)k*x-exp(-x),0); %# initial guess: x=0
I can't solve this differential equation by ode45 beacause it has sigularity.
xy"=3xcos(x)+sin(x) ; x(0)=0 , x'(0)=0
can you help me to write ode45 function?
You can use the sinc(x) function, which is defined as sin(π*x)/(π*x), except at x=0 where its value is 1. So, you can rewrite your ODE as:
y'' = 3*cos(x) + sinc(x/π)
which ode45 shouldn't have any trouble solving.