7.4.10 problem 10

Internal problem ID [82]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.5 (linear equations). Problems at page 54
Problem number : 10
Date solved : Friday, February 07, 2025 at 07:48:43 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

dsolve(2*x*diff(y(x),x)-3*y(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[2*x*D[y[x],x]-3*y[x]==9*x^3,y[x],x,IncludeSingularSolutions -> True]
 

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