12.2.2 problem 2

Internal problem ID [1538]
Book : Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Section : Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number : 2
Date solved : Monday, January 27, 2025 at 04:59:15 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }+3 x^{2} y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve(diff(y(x),x) + 3*x^2*y(x)=0,y(x), singsol=all)
 

\[ y = c_1 \,{\mathrm e}^{-x^{3}} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 20

DSolve[D[y[x],x] +3*x^2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{-x^3} \\ y(x)\to 0 \\ \end{align*}