Internal problem ID [13372]
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).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {x^{2} y^{\prime \prime }-7 y^{\prime } x +15 y=x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (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: 0.013 (sec). Leaf size: 25
DSolve[x^2*y''[x]-7*x*y'[x]+15*y[x]==x^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2 x^5+c_1 x^3+\frac {x^2}{3} \]