Internal problem ID [5097]
Book: Engineering Mathematics. By K. A. Stroud. 5th edition. Industrial press Inc. NY.
2001
Section: Program 24. First order differential equations. Further problems 24. page
1068
Problem number: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {-y+x y^{\prime }=x^{3}+3 x^{2}-2 x} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 21
dsolve(x*diff(y(x),x)-y(x)=x^3+3*x^2-2*x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (x^{2}+6 x -4 \ln \left (x \right )+2 c_{1} \right ) x}{2} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 24
DSolve[x*y'[x]-y[x]==x^3+3*x^2-2*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \left (\frac {x^2}{2}+3 x-2 \log (x)+c_1\right ) \]