Internal problem ID [133]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-1-x^{2}-y^{2}-y^{4} x^{2}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x) = 1+x^2+y(x)^2+x^2*y(x)^4,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x] == 1+x^2+y[x]^2+x^2*y[x]^4,y[x],x,IncludeSingularSolutions -> True]
Not solved