Internal problem ID [10184]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational]
Solve \begin {gather*} \boxed {y^{4} x^{3}+x^{2} y^{3}+y^{2} x +y+\left (x^{4} y^{3}-x^{3} y^{2}-x^{3} y+x \right ) y^{\prime }=0} \end {gather*}
✗ 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: 0.0 (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)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved