8.4.10 problem 10

Internal problem ID [713]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.5. Linear first order equations. Page 56
Problem number : 10
Date solved : Monday, January 27, 2025 at 02:58:59 AM
CAS classification : [_linear]

\begin{align*} -3 y+2 x y^{\prime }&=9 x^{3} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve(-3*y(x)+2*x*diff(y(x),x) = 9*x^3,y(x), singsol=all)
 

\[ y = 3 x^{3}+x^{{3}/{2}} c_1 \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 19

DSolve[-3*y[x]+2*x*D[y[x],x] == 9*x^3,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 3 x^3+c_1 x^{3/2} \]