Is it considered OK to give singular solution to an ode which does not satisfy the ode?
I thought may be because it is singular solution and not general solution, then that is allowed sometimes. But it seems strange to me to give a solution which cleary do not satisfy the ode, even if it is singular. But may be because it is singular, it is not required to satisfy the ode? Here is an example
But the first given "solution" (singular) does not satisfy the ode. Plugging it into the ode gives -1=1. Also odetest(y(x)=-x,ode_1) agrees it does not satisfy the ode. It gives -2 and not zero.
What do others think about this?