22.22 problem 630

Internal problem ID [3878]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 22
Problem number: 630.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_homogeneous, `class C`], _rational]

\[ \boxed {\left (1-3 x +2 y\right )^{2} y^{\prime }-\left (4+2 x -3 y\right )^{2}=0} \]

Solution by Maple

Time used: 2.437 (sec). Leaf size: 1337

dsolve((1-3*x+2*y(x))^2*diff(y(x),x) = (4+2*x-3*y(x))^2,y(x), singsol=all)
 

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

Solution by Mathematica

Time used: 60.209 (sec). Leaf size: 3501

DSolve[(1-3 x+2 y[x])^2 y'[x]==(4+2 x-3 y[x])^2,y[x],x,IncludeSingularSolutions -> True]
 

Too large to display