69.1.71 problem 110

Internal problem ID [14224]
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
Date solved : Tuesday, January 28, 2025 at 06:22:33 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }&=\frac {2 y}{x}-\sqrt {3} \end{align*}

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.039 (sec). Leaf size: 17

DSolve[D[y[x],x]==2*y[x]/x-Sqrt[3],y[x],x,IncludeSingularSolutions -> True]
 

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