Internal problem ID [10131]
Book: An elementary treatise on differential equations by Abraham Cohen. DC heath publishers.
1906
Section: Chapter 2, differential equations of the first order and the first degree. Article 13. Linear
equations of first order. Page 19
Problem number: Ex 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {2 y}{x +1}-\left (x +1\right )^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)-2*y(x)/(1+x)=(x+1)^3,y(x), singsol=all)
\[ y \relax (x ) = \left (x +\frac {1}{2} x^{2}+c_{1}\right ) \left (1+x \right )^{2} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 22
DSolve[y'[x]-2*y[x]/(1+x)==(x+1)^3,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to (x+1)^2 \left (\frac {x^2}{2}+x+c_1\right ) \\ \end{align*}