Internal problem ID [12947]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.4 (c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {-1+x}{1+x}} \] With initial conditions \begin {align*} [y \left (0\right ) = 8] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve([diff(y(x),x)=(x-1)/(x+1),y(0) = 8],y(x), singsol=all)
\[ y = x -2 \ln \left (1+x \right )+8 \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 14
DSolve[{y'[x]==(x-1)/(x+1),{y[0]==8}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x-2 \log (x+1)+8 \]