ODE
\[ (a-x)^n (b-x)^n y^{(n)}(x)=c y(x) \] ODE Classification
odeadvisor timed out
Book solution method
TO DO
Mathematica ✗
cpu = 0.15482 (sec), leaf count = 0 , could not solve
DSolve[(a - x)^n*(b - x)^n*Derivative[n][y][x] == c*y[x], y[x], x]
Maple ✗
cpu = 0. (sec), leaf count = 0 , exception
unable to handle ODEs of undefined differential order
Mathematica raw input
DSolve[(a - x)^n*(b - x)^n*Derivative[n][y][x] == c*y[x],y[x],x]
Mathematica raw output
DSolve[(a - x)^n*(b - x)^n*Derivative[n][y][x] == c*y[x], y[x], x]
Maple raw input
dsolve(diff(y(x),[x $ n])*(a-x)^n*(b-x)^n = c*y(x), y(x))
Maple raw output
\verbunable to handle ODEs of undefined differential order||