1.71 problem 110

Internal problem ID [12488]

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: 0.015 (sec). Leaf size: 13

dsolve(diff(y(x),x)=2*y(x)/x-sqrt(3),y(x), singsol=all)
 

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

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]
 

\[ y(x)\to x \left (\sqrt {3}+c_1 x\right ) \]