Internal problem ID [5249]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 4. Equations of first order and first degree (Variable separable). Supplemetary
problems. Page 22
Problem number: 39.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {3 y+\left (7 y-3 x +3\right ) y^{\prime }=7 x -7} \]
✓ Solution by Maple
Time used: 0.453 (sec). Leaf size: 705
dsolve((3*y(x)-7*x+7)+(7*y(x)-3*x+3)*diff(y(x),x)= 0,y(x), singsol=all)
\[ \text {Expression too large to display} \]
✓ Solution by Mathematica
Time used: 60.746 (sec). Leaf size: 7785
DSolve[(3*y[x]-7*x+7)+(7*y[x]-3*x+3)*y'[x]== 0,y[x],x,IncludeSingularSolutions -> True]
Too large to display