75.2.17 problem 37

Internal problem ID [16694]
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 : 37
Date solved : Tuesday, January 28, 2025 at 09:18:16 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=1 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 7

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

\[ y = x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 9

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

\[ y(x)\to x+c_1 \]