74.18.56 problem 62

Internal problem ID [16613]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number : 62
Date solved : Tuesday, January 28, 2025 at 09:12:49 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y&=8 x \end{align*}

✓ Solution by Maple

Time used: 0.006 (sec). Leaf size: 16

dsolve(x^2*diff(y(x),x$2)-7*x*diff(y(x),x)+15*y(x)=8*x,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 19

DSolve[x^2*D[y[x],{x,2}]-7*x*D[y[x],x]+15*y[x]==8*x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_2 x^5+c_1 x^3+x \]