75.2.19 problem 39

Internal problem ID [16696]
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 : 39
Date solved : Tuesday, January 28, 2025 at 09:18:18 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 8

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

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

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 16

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

\begin{align*} y(x)\to c_1 e^x \\ y(x)\to 0 \\ \end{align*}