75.7.15 problem 190

Internal problem ID [16808]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Section 7, Total differential equations. The integrating factor. Exercises page 61
Problem number : 190
Date solved : Tuesday, January 28, 2025 at 09:33:22 AM
CAS classification : [_linear]

\begin{align*} x^{2}+y-x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 9

dsolve(( x^2+y(x))-x*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 11

DSolve[( x^2+y[x])-x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x (x+c_1) \]