29.13.24 problem 378

Internal problem ID [4978]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 13
Problem number : 378
Date solved : Monday, January 27, 2025 at 10:00:50 AM
CAS classification : [_linear]

\begin{align*} x^{5} y^{\prime }&=1-3 x^{4} y \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(x^5*diff(y(x),x) = 1-3*x^4*y(x),y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {c_{1} x -1}{x^{4}} \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 15

DSolve[x^5 D[y[x],x]==1-3 x^4 y[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {-1+c_1 x}{x^4} \]