60.1.500 problem 503

Internal problem ID [10514]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 503
Date solved : Monday, January 27, 2025 at 08:34:03 PM
CAS classification : [_rational]

\begin{align*} \left (\operatorname {b2} y+\operatorname {a2} x +\operatorname {c2} \right )^{2} {y^{\prime }}^{2}+\left (\operatorname {a1} x +\operatorname {b1} y+\operatorname {c1} \right ) y^{\prime }+\operatorname {b0} y+\operatorname {a0} +\operatorname {c0}&=0 \end{align*}

✗ Solution by Maple

dsolve((b2*y(x)+a2*x+c2)^2*diff(y(x),x)^2+(a1*x+b1*y(x)+c1)*diff(y(x),x)+b0*y(x)+a0+c0=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[a0 + c0 + b0*y[x] + (c1 + a1*x + b1*y[x])*D[y[x],x] + (c2 + a2*x + b2*y[x])^2*D[y[x],x]^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out