Internal problem ID [2023]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 11, page 45
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class G`], _rational, _Bernoulli]
\[ \boxed {2 y+y^{\prime } x -3 x^{3} y^{\frac {4}{3}}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(x*diff(y(x),x)+2*y(x)=3*x^3*y(x)^(4/3),y(x), singsol=all)
\[ \frac {1}{y \left (x \right )^{\frac {1}{3}}}+\frac {3 x^{3}}{7}-x^{\frac {2}{3}} c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.159 (sec). Leaf size: 29
DSolve[x*y'[x]+2*y[x]==3*x^3*y[x]^(4/3),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {343}{x^2 \left (3 x^{7/3}-7 c_1\right ){}^3} \\ y(x)\to 0 \\ \end{align*}