how can i Solve this equation With ode45

(d2y/dt^2)+w=0

how can i Solve this equation With ode45, w=1 and intrevall [0 10] and

y(1)=2

y(2)=0

Answer 1

[Star Strider]

Try this:

syms y(t) w T Y 
DE = diff(y,2) + w;
[VF,Subs] = odeToVectorField(DE)
ODEfcn = matlabFunction(VF, 'Vars',{T,Y,w})

w = 1;
tspan = [0 10];
ic = [2 0];
[t,y] = ode45(@(t,y)ODEfcn(t,y,w), tspan, ic);

figure
plot(t,y)
grid
legend(string(Subs))

I assume the ‘y(1)’ and ‘y(2)’ references are to the initial conditions. If they are boundary conditions, a different approach is required.