60.1.285 problem 286

Internal problem ID [10299]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 286
Date solved : Monday, January 27, 2025 at 06:51:17 PM
CAS classification : [[_homogeneous, `class C`], _rational]

\begin{align*} \left (2 y-3 x +1\right )^{2} y^{\prime }-\left (3 y-2 x -4\right )^{2}&=0 \end{align*}

✓ Solution by Maple

Time used: 4.651 (sec). Leaf size: 1337

dsolve((2*y(x)-3*x+1)^2*diff(y(x),x)-(3*y(x)-2*x-4)^2=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 60.202 (sec). Leaf size: 3501

DSolve[(2*y[x]-3*x+1)^2*D[y[x],x]-(3*y[x]-2*x-4)^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Too large to display