Solving an ODE second order
2 次查看(过去 30 天)
显示 更早的评论
Hi, I have to solve an ODE second order in Matlab, like this:
a*y''(x)=b
Where x is the space coordinate, a and b are costants. The initial condition is y value at x=0. At the end I must obtain the evolution of y in function of space.
How can I model it? Should I use a certain ode solver?
Thank you!
0 个评论
采纳的回答
Stephan
2021-4-20
编辑:Stephan
2021-4-20
change to the initial conditions as you need:
% symbolic variables
syms a b y(x)
% Define derivatives
Dyx = diff(y,x,1)
D2yx = diff(y,x,2)
% ode
ode = a* D2yx == b
% initioal conditions
conds = [y(0)==1, Dyx(0)==0]
% solve
sol = dsolve(ode,conds)
5 个评论
Stephan
2021-4-20
Change the conds:
% symbolic variables
syms a b y(x)
% Define derivatives
Dyx = diff(y,x,1)
D2yx = diff(y,x,2)
% ode
ode = a* D2yx == b
% initioal conditions
conds = [y(0)==1, y(5)==0]
% solve
sol = dsolve(ode,conds)
更多回答(0 个)
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 Ordinary Differential Equations 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!