7.7.31 problem 31

Internal problem ID [209]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Review problems at page 98
Problem number : 31
Date solved : Monday, January 27, 2025 at 02:41:41 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.062 (sec). Leaf size: 20

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

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