8.6.31 problem 31 (b)

Internal problem ID [801]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Chapter 1 review problems. Page 78
Problem number : 31 (b)
Date solved : Monday, January 27, 2025 at 03:07:49 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=3 x^{2} \left (7+y\right ) \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

dsolve(diff(y(x),x) = 3*x^2*(7+y(x)),y(x), singsol=all)
 

\[ y = -7+{\mathrm e}^{x^{3}} c_1 \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 20

DSolve[D[y[x],x] == 3*x^2*(7+y[x]),y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -7+c_1 e^{x^3} \\ y(x)\to -7 \\ \end{align*}