Internal problem ID [2004]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 10, page 41
Problem number: 18.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y x^{\prime }-x \left (2+3 y \right )=2 y \,{\mathrm e}^{3 y}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(y*diff(x(y),y)=2*y*exp(3*y)+x(y)*(3*y+2),x(y), singsol=all)
\[ x \left (y \right ) = \left (c_{1} y -2\right ) y \,{\mathrm e}^{3 y} \]
✓ Solution by Mathematica
Time used: 0.052 (sec). Leaf size: 18
DSolve[y*x'[y]==2*y*Exp[3*y]+x[y]*(3*y+2),x[y],y,IncludeSingularSolutions -> True]
\[ x(y)\to e^{3 y} y (-2+c_1 y) \]