solve first-order ODE

Hi,

i tried to solve this first-order ode problem but it keeps show "Unable to find symbolic solution"

here is my code:

ode = diff(y,t) == sin( exp(y - t/2) - t^2/2 );cond = y(0) == 0;ySol(t) = dsolve(ode,cond)

ySol(10)

thanks a lot!

Answer 1

[madhan ravi]

ode = @(t, Y) sin( exp(Y - t/2) - t^2/2 )
ode45(ode, [0 2*pi], 0)

Answer 2

[Ameer Hamza]

It means that MATLAB is unable to find a closed-form solution to your ODE. It might be the case that such a solution does not exist in terms of elementary functions. You need to use a numerical solution

IC = 0;
tspan = [0 10];
[t, y] = ode45(@odefun, tspan, IC);

plot(t, y, '-o')

function dydt = odefun(t, y)
    dydt = sin(exp(y - t/2) - t^2/2);
end