55.1.6 problem HW 1 problem 11

Internal problem ID [8702]
Book : Selected problems from homeworks from different courses
Section : Math 2520, summer 2021. Differential Equations and Linear Algebra. Normandale college, Bloomington, Minnesota
Problem number : HW 1 problem 11
Date solved : Monday, January 27, 2025 at 04:19:45 PM
CAS classification : [[_homogeneous, `class G`], _rational, _Bernoulli]

\begin{align*} y^{\prime }+\frac {2 y}{x}&=6 y^{2} x^{4} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 17

dsolve(diff(y(x),x)+2*y(x)/x=6*y(x)^2*x^4,y(x), singsol=all)
 

\[ y = \frac {1}{\left (-2 x^{3}+c_{1} \right ) x^{2}} \]

✓ Solution by Mathematica

Time used: 0.146 (sec). Leaf size: 24

DSolve[D[y[x],x]+2*y[x]/x==6*y[x]^2*x^4,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {1}{-2 x^5+c_1 x^2} \\ y(x)\to 0 \\ \end{align*}