I have this problem that i would like to solve preferably in MATLAB
Solve:
$\frac{d^2y}{dx^2} + \sin(y) = 0$
with endpoint conditions $y(0) = 0$ and $y(0.5) = 0.2618$.
I think i have to plot the solution. I would appreciate any kind of help.
My incomplete solutions until now is:
a=0;b=10; %limits h=0.00001; %step N=round((b-a)/h)+1; %nodes x=zeros(N,1);% init solution vectro x(1)=0; %initial condition % y(1) = 0.2618; - i still need the second condition for i=2:N x(i)=x(i-1)+h*y(i-1); y(i)=y(i-1)- h * sin(x(i-1)); end plot(a:h:b, x); hold on;