Internal problem ID [14956]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 2. The method of isoclines. Exercises page 27
Problem number: 29.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=-x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x)=y(x)-x^2,y(x), singsol=all)
\[ y \left (x \right ) = x^{2}+2 x +2+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.045 (sec). Leaf size: 19
DSolve[y'[x]==y[x]-x^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2+2 x+c_1 e^x+2 \]