4.7 problem 7

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]

Solve \begin {gather*} \boxed {y+2 y^{\prime } x -10 \sqrt {x}=0} \end {gather*}

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)
 

\[ y \relax (x ) = \frac {5 x +c_{1}}{\sqrt {x}} \]

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]
 

\begin{align*} y(x)\to \frac {5 x+c_1}{\sqrt {x}} \\ \end{align*}