75.2.13 problem 33

Internal problem ID [16690]
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 : 33
Date solved : Tuesday, January 28, 2025 at 09:18:10 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

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

\[ y = -\frac {1}{2} x^{2}+x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 16

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

\[ y(x)\to -\frac {x^2}{2}+x+c_1 \]