Internal problem ID [3861]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 22
Problem number: 611.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_1st_order, `_with_symmetry_[F(x)*G(y),0]`]]
\[ \boxed {\left (x^{2}+2 y+y^{2}\right ) y^{\prime }=-2 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve((x^2+2*y(x)+y(x)^2)*diff(y(x),x)+2*x = 0,y(x), singsol=all)
\[ {\mathrm e}^{y \left (x \right )} x^{2}+{\mathrm e}^{y \left (x \right )} y \left (x \right )^{2}+c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.156 (sec). Leaf size: 24
DSolve[(x^2+2 y[x]+y[x]^2)y'[x]+2 x==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [x^2 e^{y(x)}+e^{y(x)} y(x)^2=c_1,y(x)\right ] \]