Internal problem ID [3717]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 17
Problem number: 463.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (x +2 y\right ) y^{\prime }-y=-2 x} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 22
dsolve((x+2*y(x))*diff(y(x),x)+2*x-y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = \tan \left (\operatorname {RootOf}\left (\ln \left (\frac {1}{\cos \left (\textit {\_Z} \right )^{2}}\right )+\textit {\_Z} +2 \ln \left (x \right )+2 c_{1} \right )\right ) x \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 30
DSolve[(x+2 y[x])y'[x]+2 x -y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [\arctan \left (\frac {y(x)}{x}\right )+\log \left (\frac {y(x)^2}{x^2}+1\right )=-2 \log (x)+c_1,y(x)\right ] \]