How do i solve a second order ODE with variable coefficients?

3 次查看(过去 30 天)
I am fairly new to MATLAB and i don't really know how to solve this equation. y''+(exp(-10t)+sen(10t))y'+y=0 If anyone could help me it would me much appreciated

采纳的回答

Star Strider
Star Strider 2017-2-25
This seems to work:
% % % y''+(exp(-10t)+sen(10t))y'+y = 0
syms t y(t) Y
D1y = diff(y,t);
D2y = diff(y,t,2);
Eqn = D2y + exp(-10*t) + sin(10*t)*D1y + y == 0;
yode = odeToVectorField(Eqn);
Yodefcn = matlabFunction(yode, 'Vars',[t Y]);
% Yodefcn = @(t,Y) [Y(2);-exp(t.*-1.0e1)-sin(t.*1.0e1).*Y(2)-Y(1)];
tspan = [0 15];
Y0 = [0 0];
[T,Y] = ode45(Yodefcn, tspan, Y0);
figure(1)
plot(T, Y)
grid
If you do not have the Symbolic Math Toolbox, delete that part of my code and use the commented ‘Yodefcn’ instead, with the rest of my code.

更多回答(0 个)

类别

Help CenterFile Exchange 中查找有关 Symbolic Math Toolbox 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by