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The particular integral of (4D^{2} + 4D + 1) y = 8e^{x/2} is
The vector [1, 2, 3], [1, 0, 0], [0, 1, 0], [0, 0, 1] are
Kroncker delta S^{i}_{j} is a mixed tensor of rank _____
Real part of the is ______ (upto two decimal places)
Given z^{3} = 1. Let z_{0},z_{1} and z_{2} be the complex roots of the above equation.If z_{0} = 1, then the value of z_{1}z_{2} is ____ (Answer should be an integer)
The dimensionality of the vector space of hermitian 3 x 3 matrices is ____ (answer should be an integer)
Given vector the line integral where C is a circle of radius 5 units with its center at origin is ________
The determinant of the metric tensor corresponding to ds^{2} = 5(dx^{1})^{2} + 3(dx^{2})^{2} + 4(dx^{3})^{2}  6dx^{1}dx^{2 }+ 4dx^{2}dx^{3} is
Consider a vector v = (v_{1}, v_{2}, v_{3}) in three dimensional complex vector space c^{3}. A linear operator T is designed as follows
T( v_{1}, v_{2,} v_{3}) = ( v_{1,} v_{2}  v_{3,}iv_{2})
Find T^{+ }matrix representation using orthonormal basis
Given the Legendre polynomial P_{0}(x) = 1, P_{1 }(x) = x and then polynomial (3x^{2} + x 1)
Find the complex coefficient Cn of the fourier series of the function for n is odd.
The equation of the plane that is tangent to the surface xyz = 8 at point (1,2,4) is
The value of the integral is ______ (upto two decimal places)
The value of the Contour integral
and the contour C is a circle of radius 2 centred at the origin traversed in the counterclockwise direction is ______ (answer should be an integer).
1 docs34 tests

Test: Mathematical Physics  2 Test  20 ques 
Test: Quantum Mechanics  1 Test  20 ques 
Test: Quantum Mechanics  2 Test  20 ques 
Test: Classical Mechanics  1 Test  20 ques 
Test: Classical Mechanics  2 Test  20 ques 
1 docs34 tests

Test: Mathematical Physics  2 Test  20 ques 
Test: Quantum Mechanics  1 Test  20 ques 
Test: Quantum Mechanics  2 Test  20 ques 
Test: Classical Mechanics  1 Test  20 ques 
Test: Classical Mechanics  2 Test  20 ques 