8.4.12 problem 12

Internal problem ID [715]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.5. Linear first order equations. Page 56
Problem number : 12
Date solved : Monday, January 27, 2025 at 02:59:02 AM
CAS classification : [_linear]

\begin{align*} 3 y+x y^{\prime }&=2 x^{5} \end{align*}

With initial conditions

\begin{align*} y \left (2\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.006 (sec). Leaf size: 14

dsolve([3*y(x)+x*diff(y(x),x) = 2*x^5,y(2) = 1],y(x), singsol=all)
 

\[ y = \frac {x^{8}-224}{4 x^{3}} \]

✓ Solution by Mathematica

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

DSolve[{3*y[x]+x*D[y[x],x] == 2*x^5,y[2]==1},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^8-224}{4 x^3} \]