7.4.26 problem 26

Internal problem ID [98]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.5 (linear equations). Problems at page 54
Problem number : 26
Date solved : Friday, February 07, 2025 at 07:49:21 AM
CAS classification : [_linear]

\begin{align*} \frac {1-4 x y^{2}}{x^{\prime }}&=y^{3} \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 16

dsolve((1-4*x(y)*y^2)*1/diff(x(y),y)=y^3,x(y), singsol=all)
 

\[ x = \frac {y^{2}+2 c_1}{2 y^{4}} \]

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 20

DSolve[(1-4*x[y]*y^2)*1/D[x[y],y]==y^3,x[y],y,IncludeSingularSolutions -> True]
 

\[ x(y)\to \frac {y^2+2 c_1}{2 y^4} \]