29.14.7 problem 388

Internal problem ID [4986]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 14
Problem number : 388
Date solved : Monday, January 27, 2025 at 10:01:19 AM
CAS classification : [_Chini]

\begin{align*} x^{k} y^{\prime }&=a \,x^{m}+b y^{n} \end{align*}

✗ Solution by Maple

dsolve(x^k*diff(y(x),x) = a*x^m+b*y(x)^n,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x^k D[y[x],x]==a x^m + b y[x]^n,y[x],x,IncludeSingularSolutions -> True]
 

Not solved