Internal problem ID [3126]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 13
Problem number: 378.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x^{5} y^{\prime }-1+3 x^{4} y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 15
dsolve(x^5*diff(y(x),x) = 1-3*x^4*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {-\frac {1}{x}+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 15
DSolve[x^5 y'[x]==1-3 x^4 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-1+c_1 x}{x^4} \\ \end{align*}