60.1.366 problem 367

Internal problem ID [10380]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 367
Date solved : Monday, January 27, 2025 at 07:38:28 PM
CAS classification : [NONE]

\begin{align*} f \left (x^{c} y\right ) \left (b x y^{\prime }-a \right )-x^{a} y^{b} \left (x y^{\prime }+c y\right )&=0 \end{align*}

✗ Solution by Maple

dsolve(f(x^c*y(x))*(b*x*diff(y(x),x)-a)-x^a*y(x)^b*(x*diff(y(x),x)+c*y(x)) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[-(x^a*y[x]^b*(c*y[x] + x*D[y[x],x])) + f[x^c*y[x]]*(-a + b*x*D[y[x],x])==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved