Internal problem ID [12450]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 50.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 y-\left (2 x -3\right ) y^{\prime }=-x -1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve((x+2*y(x)+1)-(2*x-3)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {5}{4}+\frac {\left (2 x -3\right ) \ln \left (2 x -3\right )}{4}+\left (2 x -3\right ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.064 (sec). Leaf size: 32
DSolve[(x+2*y[x]+1)-(2*x-3)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{4} ((2 x-3) \log (3-2 x)+4 c_1 (2 x-3)-5) \]