64.6.1 problem 1

Internal problem ID [13351]
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
Date solved : Tuesday, January 28, 2025 at 05:31:29 AM
CAS classification : [_separable]

\begin{align*} 6 x^{2} y-\left (x^{3}+1\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

dsolve(6*x^2*y(x)-(x^3+1)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = c_{1} \left (x^{3}+1\right )^{2} \]

✓ Solution by Mathematica

Time used: 0.033 (sec). Leaf size: 20

DSolve[6*x^2*y[x]-(x^3+1)*D[y[x],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*}