60.1.129 problem 130

Internal problem ID [10143]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 130
Date solved : Monday, January 27, 2025 at 06:29:49 PM
CAS classification : [_linear]

\begin{align*} 2 x y^{\prime }-y-2 x^{3}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

dsolve(2*x*diff(y(x),x) - y(x) -2*x^3=0,y(x), singsol=all)
 

\[ y = \frac {2 x^{3}}{5}+\sqrt {x}\, c_{1} \]

✓ Solution by Mathematica

Time used: 0.033 (sec). Leaf size: 21

DSolve[2*x*D[y[x],x] - y[x] -2*x^3==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {2 x^3}{5}+c_1 \sqrt {x} \]