Internal problem ID [11639]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 2, section 2.3 (Linear equations). Exercises page 56
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x^{4} y^{\prime }+2 y x^{3}=1} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 13
dsolve(x^4*diff(y(x),x)+2*x^3*y(x)=1,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} x -1}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 15
DSolve[x^4*y'[x]+2*x^3*y[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-1+c_1 x}{x^3} \]