75.2.15 problem 35

Internal problem ID [16692]
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 : 35
Date solved : Tuesday, January 28, 2025 at 09:18:12 AM
CAS classification : [[_linear, `class A`]]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 18

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

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

✓ Solution by Mathematica

Time used: 0.076 (sec). Leaf size: 21

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

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