Internal problem ID [2979]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 8
Problem number: 231.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (x +a \right ) y^{\prime }-2 \left (x +a \right )^{5}-3 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve((a+x)*diff(y(x),x) = 2*(a+x)^5+3*y(x),y(x), singsol=all)
\[ y \relax (x ) = \left (2 a x +x^{2}+c_{1}\right ) \left (a +x \right )^{3} \]
✓ Solution by Mathematica
Time used: 0.045 (sec). Leaf size: 21
DSolve[(a+x) y'[x]==2(a+x)^5+3 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to (a+x)^3 \left (2 a x+x^2+c_1\right ) \\ \end{align*}