Internal problem ID [2]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.2. Integrals as general and particular solutions. Page 16
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\left (-2+x \right )^{2}} \] With initial conditions \begin {align*} [y \left (2\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 13
dsolve([diff(y(x),x) = (-2+x)^2,y(2) = 1],y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (-2+x \right )^{3}}{3}+1 \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 22
DSolve[{y'[x]==(-2+x)^2,y[2]==1},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{3} \left (x^3-6 x^2+12 x-5\right ) \]