Internal problem ID [60]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y+2 y^{\prime } x=10 \sqrt {x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(y(x)+2*x*diff(y(x),x) = 10*x^(1/2),y(x), singsol=all)
\[ y \left (x \right ) = \frac {5 x +c_{1}}{\sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 17
DSolve[y[x]+2*x*y'[x] == 10*x^(1/2),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {5 x+c_1}{\sqrt {x}} \]