Internal problem ID [12455]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 57.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {2 y}{x +1}=\left (x +1\right )^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)-2*y(x)/(x+1)=(x+1)^3,y(x), singsol=all)
\[ y \left (x \right ) = \left (x +\frac {1}{2} x^{2}+c_{1} \right ) \left (1+x \right )^{2} \]
✓ Solution by Mathematica
Time used: 0.052 (sec). Leaf size: 22
DSolve[y'[x]-2*y[x]/(x+1)==(x+1)^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to (x+1)^2 \left (\frac {x^2}{2}+x+c_1\right ) \]