Question: few errors using dsolve and and odetest

Noticed few errors generated on some ode's. I do not know if these are expected or known, I thought may be someone might want to check them.

restart;
ode1:=(a^2*x+y(x)*(x^2-y(x)^2))*diff(y(x),x)+x*(x^2-y(x)^2) = a^2*y(x);
ode2:=x^7*y(x)^2*diff(y(x),x)^3+(1-3*x^6*y(x)^3)*diff(y(x),x)^2+3*x^5*y(x)^4*diff(y(x),x)-x^4*y(x)^5 = 0;
ode3:=diff(y(x),x)^4+x*diff(y(x),x)-3*y(x) = 0;

sol:=timelimit(60,:-dsolve(ode1,y(x))):

Error, (in dsolve) numeric exception: division by zero
 

sol:=timelimit(60,:-dsolve(ode2,y(x))):
timelimit(60,:-odetest([sol][5],ode2))

Error, (in IntegrationTools:-Indefinite:-AlgebraicFunction) argument is not an algebraic
 

sol:=timelimit(60,:-dsolve(ode3,y(x))):
timelimit(60,:-odetest(sol[1],ode3));
timelimit(60,:-odetest(sol[2],ode3))

Error, (in odetest) received not an ODE w.r.t x(_T)
Error, (in odetest) received not an ODE w.r.t y(_T)
 

This last one is only due to how the solution is given. So I do not think it is a real problem.

Maple 2020.1, Physics 708

windows 10



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