75.2.10 problem 30

Internal problem ID [16687]
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 : 30
Date solved : Tuesday, January 28, 2025 at 09:18:02 AM
CAS classification : [[_linear, `class A`]]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

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

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

✓ Solution by Mathematica

Time used: 0.070 (sec). Leaf size: 17

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

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