62.12.28 problem Ex 29

Internal problem ID [12874]
Book : An elementary treatise on differential equations by Abraham Cohen. DC heath publishers. 1906
Section : Chapter 2, differential equations of the first order and the first degree. Article 19. Summary. Page 29
Problem number : Ex 29
Date solved : Tuesday, January 28, 2025 at 04:29:56 AM
CAS classification : [_rational]

\begin{align*} x^{3} y^{4}+x^{2} y^{3}+x y^{2}+y+\left (x^{4} y^{3}-x^{3} y^{2}-x^{3} y+x \right ) y^{\prime }&=0 \end{align*}

✗ Solution by Maple

dsolve((x^3*y(x)^4+x^2*y(x)^3+x*y(x)^2+y(x))+(x^4*y(x)^3-x^3*y(x)^2-x^3*y(x)+x)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(x^3*y[x]^4+x^2*y[x]^3+x*y[x]^2+y[x])+(x^4*y[x]^3-x^3*y[x]^2-x^3*y[x]+x)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved