29.22.22 problem 630

Internal problem ID [5222]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 22
Problem number : 630
Date solved : Monday, January 27, 2025 at 10:23:08 AM
CAS classification : [[_homogeneous, `class C`], _rational]

\begin{align*} \left (1-3 x +2 y\right )^{2} y^{\prime }&=\left (4+2 x -3 y\right )^{2} \end{align*}

✓ Solution by Maple

Time used: 9.700 (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: 60.206 (sec). Leaf size: 3501

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

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