Problems related to eigenfunctions and eigenvalues

[rakeshksinha]

can somebody help me with the solution of the following problems?
Ques. Find the eigenfunctions and eigenvalues for the operators
1. sin d/d psi
2. cos(i d/d psi)
3. exp(i a d/d psi)
4. (d)square/d (x)square+z/x * d/dx

 

[Gokul43201]

Please show your own effort first, as required by the forum guidelines.