Internal problem ID [12168]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 110.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {2 y}{x}=-\sqrt {3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)=2*y(x)/x-sqrt(3),y(x), singsol=all)
\[ y \left (x \right ) = \left (\frac {\sqrt {3}}{x}+c_{1} \right ) x^{2} \]
✓ Solution by Mathematica
Time used: 0.066 (sec). Leaf size: 17
DSolve[y'[x]==2*y[x]/x-Sqrt[3],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \left (\sqrt {3}+c_1 x\right ) \]