How to improve the Slope Field code?

Question

Athanasios Paraskevopoulos 2024-3-23

0
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https://ww2.mathworks.cn/matlabcentral/answers/2098001-how-to-improve-the-slope-field-code

编辑： Athanasios Paraskevopoulos 2024-3-24

I am trying to create my slope fielld manually. Is there any advice how to improve my appearance of the Slope Field? I have read How to Draw a Slope Field in MATLAB but i could not understand how to use Use the slope_field() Function

syms y(x) % Define the symbolic function y(x)

% Define the differential equation

eq = diff(y, x) == x;

% Solve the general solution of the differential equation

gsol = dsolve(eq);

% Define the initial condition and solve the particular solution

cond = y(0) == 3;

psol = dsolve(eq, cond);

% Plot the particular solution

fplot(psol, [-5, 5]);

hold on;

% The slope field for the differential equation

[x, y] = meshgrid(-5:0.5:5, -5:0.5:15);

u = ones(size(x));

v = x; % Because dy/dx = x

quiver(x, y, u, v, 'r');

hold off;

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Answer 1

Athanasios Paraskevopoulos 2024-3-24

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https://ww2.mathworks.cn/matlabcentral/answers/2098001-how-to-improve-the-slope-field-code#answer_1430131

编辑：Athanasios Paraskevopoulos 2024-3-24

在 MATLAB Online 中打开

dirfield.m

I used the dirfield.m so I had better visualization

f=@(x,y)x
figure;
dirfield(f,-2:0.2:2,-2:0.2:2)
xlabel('$x$','interpreter','latex','fontsize',17);
ylabel('$y$','interpreter','latex','fontsize',17);
title('Slope Field for $\displaystyle\frac{dy}{dx}=x$',...
    'interpreter','latex','fontsize',17);
hold on 
[x,y] = ode45(f,[-2,2],3);
plot(x,y) 
hold off