Internal problem ID [4]
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: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {1}{x^{2}}} \] With initial conditions \begin {align*} [y \left (1\right ) = 5] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve([diff(y(x),x) = 1/x^2,y(1) = 5],y(x), singsol=all)
\[ y \left (x \right ) = -\frac {1}{x}+6 \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 12
DSolve[{y'[x] == 1/x^2,y[1]==5},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 6-\frac {1}{x} \]