Internal problem ID [1935]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 7, page 28
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {3 y+\left (-x +y\right ) y^{\prime }=-2 x -2} \] With initial conditions \begin {align*} [y \left (0\right ) = -2] \end {align*}
✗ Solution by Maple
dsolve([(2*x+3*y(x)+2)+(y(x)-x)*diff(y(x),x)=0,y(0) = -2],y(x), singsol=all)
\[ \text {No solution found} \]
✓ Solution by Mathematica
Time used: 0.075 (sec). Leaf size: 78
DSolve[{(2*x+3*y[x]+2)+(y[x]-x)*y'[x]==0,{y[0]==-2}},y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [32 \arctan \left (\frac {2 y(x)+3 x+2}{x-y(x)}\right )=8 \log \left (\frac {10 x^2+10 x y(x)+5 y(x)^2+8 y(x)+12 x+4}{(5 x+2)^2}\right )+16 \log (5 x+2)-8 (\pi +3 \log (2)),y(x)\right ] \]