ODE
\[ (a+x) y'(x)=2 (a+x)^5+3 y(x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.178078 (sec), leaf count = 21
\[\left \{\left \{y(x)\to (a+x)^3 \left (2 a x+x^2+c_1\right )\right \}\right \}\]
Maple ✓
cpu = 0.007 (sec), leaf count = 19
\[[y \left (x \right ) = \left (2 a x +x^{2}+\textit {\_C1} \right ) \left (a +x \right )^{3}]\] Mathematica raw input
DSolve[(a + x)*y'[x] == 2*(a + x)^5 + 3*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (a + x)^3*(2*a*x + x^2 + C[1])}}
Maple raw input
dsolve((a+x)*diff(y(x),x) = 2*(a+x)^5+3*y(x), y(x))
Maple raw output
[y(x) = (2*a*x+x^2+_C1)*(a+x)^3]