Internal problem ID [7465]
Book: Second order enumerated odes
Section: section 2
Problem number: 25.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {x y^{\prime \prime }-y^{\prime }+4 y x^{3}=x^{5}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(x*diff(y(x),x$2)-diff(y(x),x)+4*x^3*y(x)=x^5,y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (x^{2}\right ) c_{2} +\cos \left (x^{2}\right ) c_{1} +\frac {x^{2}}{4} \]
✓ Solution by Mathematica
Time used: 0.058 (sec). Leaf size: 27
DSolve[x*y''[x]-y'[x]+4*x^3*y[x]==x^5,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^2}{4}+c_1 \cos \left (x^2\right )+c_2 \sin \left (x^2\right ) \]