15.6.8 problem 8

Internal problem ID [2965]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 10, page 41
Problem number : 8
Date solved : Monday, January 27, 2025 at 07:04:43 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }-2 x^{4}-2 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

dsolve(x*diff(y(x),x)-2*(x^4+y(x))=0,y(x), singsol=all)
 

\[ y = \left (x^{2}+c_{1} \right ) x^{2} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 15

DSolve[x*D[y[x],x]-2*(x^4+y[x])==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^2 \left (x^2+c_1\right ) \]