8.4.7 problem 7

Internal problem ID [710]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.5. Linear first order equations. Page 56
Problem number : 7
Date solved : Monday, January 27, 2025 at 02:58:46 AM
CAS classification : [_linear]

\begin{align*} y+2 x y^{\prime }&=10 \sqrt {x} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 13

dsolve(y(x)+2*x*diff(y(x),x) = 10*x^(1/2),y(x), singsol=all)
 

\[ y = \frac {5 x +c_1}{\sqrt {x}} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 17

DSolve[y[x]+2*x*D[y[x],x] == 10*x^(1/2),y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {5 x+c_1}{\sqrt {x}} \]