Solow Model with human capital

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Solow Model with human capital

kangkan
An economy has per capita production function y= A(k^a)(h^1-a) where h is human capital. Assume that h depends on k as per h=Bk.Find the long run growth rat of capital per worker and output

I am getting growth rate of capital as sA(B^1-a)- d-1-n/{1+n) where d is depreciation and n is population growth. Please confirm

Thanks