2.6 problem 6

Internal problem ID [16]

Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.3. Slope fields and solution curves. Page 26
Problem number: 6.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_linear, class A]]

Solve \begin {gather*} \boxed {y^{\prime }-1-x +y=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

dsolve(diff(y(x),x) = 1+x-y(x),y(x), singsol=all)
 

\[ y \relax (x ) = x +{\mathrm e}^{-x} c_{1} \]

Solution by Mathematica

Time used: 0.038 (sec). Leaf size: 15

DSolve[y'[x] == 1+x-y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to x+c_1 e^{-x} \\ \end{align*}