Mathematics UPSC PYQ 2016

63 questions from the UPSC 2016 examination. Showing a preview of 3 below — generate a full practice test to solve the rest.

3 questions

1Medium10 marks

Using Laplace transformation, solve the following: y'' - 2y' - 8y = 0, y(0) = 3, y'(0) = 6

2Medium8 marks

If A = [[1, 1, 0], [1, 1, 0], [0, 0, 1]], then find the eigenvalues and eigenvectors of A.

3Medium10 marks

Find the general integral of the partial differential equation (y + zx) p - (x + yz) q = x^2 - y^2.

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