Quantum mechanics eigenfunction and probability density graphs for ground state, first excited state and second excited state

Case 1:

When n = 1 (Ground state):

                         The Eigen function is =  sin()

                         Plot of ψ₁ versus x and ² versus x are as shown in the figure

 Case 2: When n = 2 (First excited state):

                      The Eigen function is =  sin()

                      Plot of ψ₂ versus x and ² versus x are as shown in the figure

 Case 3: When n = 3 (Second excited state):

                       The Eigen function is =  sin()

                       Plot of ψ₃ versus x and ² versus x are as shown in the figure