dsolve problem not showing result

I was trying to solve a simple diffrential equation solving dy/dx =y/x and plot curves using different initial value conditions.

Please refer attached picture file, the script throws erros, where as the dsolve function in the command prompt gives the right answer. Matlab code is attached as well. When I change dy/dx = cos(x) or y+x even script works fine.

Sure,I am missing something, usual some help is appreciated.

Answer 1

[madhan ravi]

syms y(x)
eqn = diff(y) == y/x;
vars = y(x);
V = odeToVectorField(eqn)
M = matlabFunction(V,'vars', {'x','Y'})
interval = [0 pi];  %x interval
for y0=-3:4     %initial conditions
[x,ysol]=ode45(M,interval,y0);
plot(x,ysol)
hold on
end
grid on
ysol

[madhan ravi]

Just convert your symbolic ode to numerical ode and then plot the solutions.

[Raghuraman S]

Thanks Madhan,

But I got the real problem, I gave y(0) as initial condition in script, which means the solution is always "zero". This was the case in script. When typed in command prompt, I sought general solution where dsolve gave the right result.

In the script when I entered y(1) etc, the solution is just fine. How silly of me!!!!

Anyways, appreciate your reply.