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Working with combination of inductors

Find the value of the inductance L shown in the attached diagram.
My Answer:
V=L*d(i)/d(t)
L=V/d(i)/d(t)
V=25cos250t
I=14sin250tmA
d(i)=14cos250t
L1=(25cos250t)/(14cos250t)=25/14=1.7857
Lt=2L+2L+L^2/2L=
2L+2L+1/2L=4.5L
Lt=1.765*(2L+2L+L+L)=
1.765*6L=10.71
L=10.71/4.5=2.38
Final answer: 2.38

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Effective inductance of the parallel combination Le = 1/(1/L + 1/L) = L/2
(neglecting mutual inductance)

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