7.7.5 problem 5

Internal problem ID [183]
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 : 5
Date solved : Friday, February 07, 2025 at 08:01:44 AM
CAS classification : [_separable]

\begin{align*} 3 y+x^{4} y^{\prime }&=2 x y \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 16

dsolve(3*y(x)+x^4*diff(y(x),x)=2*x*y(x),y(x), singsol=all)
 

\[ y = {\mathrm e}^{\frac {1-x}{x^{3}}} c_1 \]

✓ Solution by Mathematica

Time used: 0.032 (sec). Leaf size: 24

DSolve[3*y[x]+x^4*D[y[x],x]==2*x*y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{\frac {1-x}{x^3}} \\ y(x)\to 0 \\ \end{align*}