Internal problem ID [1978]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 9, page 38
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational]
\[ \boxed {\left (x^{2}+y^{2}+x \right ) y^{\prime }-y=0} \]
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 40
dsolve((x^2+y(x)^2+x)*diff(y(x),x)=y(x),y(x), singsol=all)
\[ \frac {{\mathrm e}^{-2 i y \left (x \right )} \left (i x +y \left (x \right )\right )+2 c_{1} \left (x +i y \left (x \right )\right )}{2 i y \left (x \right )+2 x} = 0 \]
✓ Solution by Mathematica
Time used: 0.099 (sec). Leaf size: 18
DSolve[(x^2+y[x]^2+x)*y'[x]==y[x],y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [y(x)-\arctan \left (\frac {x}{y(x)}\right )=c_1,y(x)\right ] \]