restart;
with(DEtools);
ode := diff(y(x), x) = epsilon - y(x)^2;
                       d                       2
               ode := --- y(x) = epsilon - y(x) 
                       dx                       

sol := dsolve(ode);
                  /           (1/2)            (1/2)\        (1/2)
sol := y(x) = tanh\_C1 epsilon      + x epsilon     / epsilon     

P := particularsol(ode);
                          (1/2)                 (1/2)  
       P := y(x) = epsilon     , y(x) = -epsilon     , 

                /    y(x)    \            (1/2)          
         arctanh|------------| - x epsilon      + _C1 = 0
                |       (1/2)|                           
                \epsilon     /                           

i am looking for finding all solution of this equation like this picture below

there is any way for define conformable fractional derivative in partial differential equation

restart;
with(PDEtools);
pde := a*diff(psi(x, t), x $ 2) + (b*abs(psi(x, t))^(-2*n) + c*abs(psi(x, t))^(-n) + d*abs(psi(x, t))^n + f*abs(psi(x, t))^(2*n))*psi(x, t) = 0;
pde + i*diff(u(x, t), [t $ beta]) = 0;

how define a  fractional derivative in sense of conformable derivative

i did a solution of this ODE equation but the solution of paper is different from mine also in other some equation i have same problem i can't get exactly and pretty solution

how  define a function for computing multi-variable adomian polynomial  what is wrong with this? what i did mistake