8.6.5 problem 5

Internal problem ID [775]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Chapter 1 review problems. Page 78
Problem number : 5
Date solved : Monday, January 27, 2025 at 03:04:42 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 16

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

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

✓ 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*}