Internal problem ID [8497]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 161.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (x^{2}-5 x +6\right ) y^{\prime }+3 y x -8 y=-x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 27
dsolve((x^2-5*x+6)*diff(y(x),x) + 3*x*y(x) - 8*y(x) + x^2=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\frac {1}{4} x^{4}+\frac {2}{3} x^{3}+c_{1}}{\left (x -3\right ) \left (x -2\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 34
DSolve[(x^2-5*x+6)*y'[x] + 3*x*y[x] - 8*y[x] + x^2==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-3 x^4+8 x^3-12 c_1}{12 (x-3) (x-2)^2} \]