Internal problem ID [3745]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 491.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (x +4 x^{3}+5 y\right ) y^{\prime }+3 x^{2} y+4 y=-7 x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 3020
dsolve((x+4*x^3+5*y(x))*diff(y(x),x)+7*x^3+3*x^2*y(x)+4*y(x) = 0,y(x), singsol=all)
\[ \text {Expression too large to display} \]
✓ Solution by Mathematica
Time used: 60.408 (sec). Leaf size: 3641
DSolve[(x+4 x^3+5 y[x])y'[x]+7 x^3+3 x^2 y[x]+4 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Too large to display