75.2.14 problem 34

Internal problem ID [16691]
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 : 34
Date solved : Tuesday, January 28, 2025 at 09:18:11 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }&=2 x -y \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve(diff(y(x),x)=2*x-y(x),y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 18

DSolve[D[y[x],x]==2*x-y[x],y[x],x,IncludeSingularSolutions -> True]
 

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