73.14.18 problem 21.15 (i)

Internal problem ID [15428]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 21. Nonhomogeneous equations in general. Additional exercises page 391
Problem number : 21.15 (i)
Date solved : Tuesday, January 28, 2025 at 07:55:21 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y&=x^{2} \end{align*}

✓ Solution by Maple

Time used: 0.007 (sec). Leaf size: 20

dsolve(x^2*diff(y(x),x$2)-7*x*diff(y(x),x)+15*y(x)=x^2,y(x), singsol=all)
 

\[ y = c_{2} x^{5}+c_{1} x^{3}+\frac {1}{3} x^{2} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 25

DSolve[x^2*D[y[x],{x,2}]-7*x*D[y[x],x]+15*y[x]==x^2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_2 x^5+c_1 x^3+\frac {x^2}{3} \]