Internal problem ID [14971]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 3. The method of successive approximation. Exercises page 31
Problem number: 44.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-2 y=-2 x^{2}-3} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([diff(y(x),x)=2*y(x)-2*x^2-3,y(0) = 2],y(x), singsol=all)
\[ y \left (x \right ) = x^{2}+x +2 \]
✓ Solution by Mathematica
Time used: 0.091 (sec). Leaf size: 11
DSolve[{y'[x]==2*y[x]-2*x^2-3,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2+x+2 \]