Internal problem ID [7]
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: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {10}{x^{2}+1}} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 8
dsolve([diff(y(x),x) = 10/(x^2+1),y(0) = 0],y(x), singsol=all)
\[ y \left (x \right ) = 10 \arctan \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 9
DSolve[{y'[x]==10/(x^2+1),y[0]==0},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 10 \arctan (x) \]