8.6.13 problem 13

Internal problem ID [783]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Chapter 1 review problems. Page 78
Problem number : 13
Date solved : Monday, January 27, 2025 at 03:05:07 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&=1+x^{2}+y^{2}+x^{2} y^{4} \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x] == 1+x^2+y[x]^2+x^2*y[x]^4,y[x],x,IncludeSingularSolutions -> True]
 

Not solved