Internal problem ID [11675]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 2, Miscellaneous Review. Exercises page 60
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {6 x^{2} y-\left (x^{3}+1\right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(6*x^2*y(x)-(x^3+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} \left (x^{3}+1\right )^{2} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 20
DSolve[6*x^2*y[x]-(x^3+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \left (x^3+1\right )^2 \\ y(x)\to 0 \\ \end{align*}