75.2.2 problem 22

Internal problem ID [16679]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Section 2. The method of isoclines. Exercises page 27
Problem number : 22
Date solved : Tuesday, January 28, 2025 at 09:17:49 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }&=x +y \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

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

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

✓ Solution by Mathematica

Time used: 0.038 (sec). Leaf size: 28

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

\[ y(x)\to e^x \left (\int _1^xe^{-K[1]} K[1]dK[1]+c_1\right ) \]