Internal problem ID [15080]
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: 192.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 x^{2} y+2 y+\left (2 x^{3}+2 x \right ) y^{\prime }=-5} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(( 2*x^2*y(x)+2*y(x)+5)+(2*x^3+2*x)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\frac {5 \arctan \left (x \right )}{2}+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 21
DSolve[( 2*x^2*y[x]+2*y[x]+5)+(2*x^3+2*x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-5 \arctan (x)+2 c_1}{2 x} \]