Internal problem ID [7431]
Book: Second order enumerated odes
Section: section 1
Problem number: 42.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {y^{\prime \prime }+y=x^{3}+x^{2}+x +1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x$2)+y(x)=1+x+x^2+x^3,y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (x \right ) c_{2} +\cos \left (x \right ) c_{1} +x^{3}+x^{2}-5 x -1 \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 26
DSolve[y''[x]+y[x]==1+x+x^2+x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^3+x^2-5 x+c_1 \cos (x)+c_2 \sin (x)-1 \]