14.7 problem 388

Internal problem ID [3134]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 14
Problem number: 388.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_Chini]

Solve \begin {gather*} \boxed {x^{k} y^{\prime }-a \,x^{m}-b y^{n}=0} \end {gather*}

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: 0.0 (sec). Leaf size: 0

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

Not solved