Internal problem ID [3477]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 8
Problem number: 221.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (x +1\right ) y^{\prime }-y=x^{3} \left (4+3 x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve((1+x)*diff(y(x),x) = x^3*(4+3*x)+y(x),y(x), singsol=all)
\[ y \left (x \right ) = c_{1} \left (x +1\right )+x^{4}+x +1 \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 18
DSolve[(1+x) y'[x]==x^3(4+3 x)+y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^4+(4+c_1) x+4+c_1 \]