18.18 problem 494

Internal problem ID [3239]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 18
Problem number: 494.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type``class A`]]

\[ \boxed {3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }=0} \]

Solution by Maple

Time used: 0.297 (sec). Leaf size: 706

dsolve((3-3*x+7*y(x))*diff(y(x),x)+7-7*x+3*y(x) = 0,y(x), singsol=all)
 

\[ \text {Expression too large to display} \]

Solution by Mathematica

Time used: 60.736 (sec). Leaf size: 7785

DSolve[(3-3 x+7 y[x])y'[x]+7-7 x+3 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Too large to display