Processing math: 100%

First time here? Check out the FAQ!

Ask Your Question

Revision history [back]

click to hide/show revision 1
initial version

asked 2 years ago

Anupamsage gravatar image

Differential equation for function involving hyperbolic Sine

Let y(z)=2sinh1(z/(2a)1/2)(z2+2a)1/2

where sinh(z) is the sine hyperbolic function.

K(z):=1z(y(z)y(z))1/2az2+1/6z290a+z4378a223z628350a3+263z8935550a4133787z101277025750a5+157009z123831077250a616215071z14976924698750a7+2689453969z16389792954801250a8+O(z18)

How can I find the linear differential equation in z with coefficent in the polynomial ring C[z] that annihilates K(z). I am unable to do it by hand I think some software in sagemath might help.