MATLAB: How to fix the code for ode45

errorode45

function_handle with value:

@(x,y)'(9*14^(1/2)*exp(-(2*x)/9)*sin((14^(1/2)*x)/9))/7)'

>> [x,y]=ode45(f,[0,25],0)

Insufficient number of outputs from right hand side of equal sign to satisfy assignment.

this is my ode45 code

[x,y] = ode45(odefun,xspan,y0)

[x,y] = ode45(odefun,xspan,y0,options)

[x,y,xe,ye,ie] = ode45(odefun,xspan,y0,options)

sol = ode45(___)

Best Answer

Delete the single quotation marks.

This runs without error:

f = @(x,y) (9*14^(1/2)*exp(-(2*x)/9)*sin((14^(1/2)*x)/9))/7;
[x,y]= ode45(f,[0,25],0)
figure
plot(x, y)
grid

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MATLAB: 4th order Runge-Kutta code that can solve for several intial conditions

Here's a version:

% Initial conditions
t0=0;
x0=0:0.2:1;
y0=1:0.2:2;
dt=0.1;
tz=1;
t_range= t0:dt:tz;
X = zeros(numel(x0),numel(t_range));
Y = zeros(numel(y0),numel(t_range));
x_rk=zeros(1,numel(t_range));
y_rk= zeros(1,numel(t_range));
for n = 1:numel(x0)
    x_rk(1)=x0(n);
    y_rk(1)=y0(n);
    for i=1:length(t_range)-1
        [x_rk(i+1), y_rk(i+1)]=rk_method(x_rk(i),y_rk(i),dt);
    end
    X(n,:) = x_rk;
    Y(n,:) = y_rk;
    %% PLots
    subplot(numel(x0)/2,2,n)
    plot (t_range, x_rk,'b-o',t_range, y_rk,'y-o','MarkerSize',5);
    grid
    title([num2str(x0(n)),'   ',num2str(y0(n))])
    legend('x','y')
end
disp('X = '), disp(X)
disp('Y = '), disp(Y)
%% Functions
function [dxdt, dydt]= f(x,y)
dxdt =  5*x-3*y;
dydt = -6*x+2*y;
end 
function [x1, y1]=rk_method(x0,y0,dt)
[k11, k12]=f(x0,y0);     
[k21, k22]=f(x0+0.5*dt*k11,y0+0.5*dt*k12); 
[k31, k32]=f(x0+0.5*dt*k21,y0+0.5*dt*k22); 
[k41, k42]=f(x0+dt*k31, y0+dt*k32); 
x1=x0+dt*((k11/6)+((k21+k31)/3)+(k41/6));
y1=y0+dt*((k12/6)+((k22+k32)/3)+(k42/6));
end

MATLAB: I want to plot x and y for ODE45 function

This line doesn't look correct:

dy(1) = x(2);

The first agument x in the derivative function is the independent variable and a scalar, so there is no x(2) value. Maybe you meant this:

dy(1) = y(2);

Best Answer

Related Solutions

MATLAB: 4th order Runge-Kutta code that can solve for several intial conditions

MATLAB: I want to plot x and y for ODE45 function

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