Internal problem ID [6281]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class G], _rational, _Bernoulli]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {2 y}{x}-6 x^{4} y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(diff(y(x),x)+2*y(x)/x=6*y(x)^2*x^4,y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{\left (-2 x^{3}+c_{1}\right ) x^{2}} \]
✓ Solution by Mathematica
Time used: 0.222 (sec). Leaf size: 24
DSolve[y'[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*}