Internal problem ID [4762]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 3. Linear First-Order Equations. page
403
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x^{2} y^{\prime }+3 x y=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(x^2*diff(y(x),x)+3*x*y(x)=1,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{2}+2 c_{1}}{2 x^{3}} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 20
DSolve[x^2*y'[x]+3*x*y[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^2+2 c_1}{2 x^3} \]