Internal problem ID [3694]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 15
Problem number: 440.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_1st_order, `_with_symmetry_[F(x)*G(y),0]`]]
\[ \boxed {\left (y+x \right ) y^{\prime }+\tan \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.234 (sec). Leaf size: 16
dsolve((x+y(x))*diff(y(x),x)+tan(y(x)) = 0,y(x), singsol=all)
\[ y \left (x \right )+x +\cot \left (y \left (x \right )\right )-\csc \left (y \left (x \right )\right ) c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.196 (sec). Leaf size: 29
DSolve[(x+y[x])y'[x]+Tan[y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}[x=\csc (y(x)) (-y(x) \sin (y(x))-\cos (y(x)))+c_1 \csc (y(x)),y(x)] \]