Questionbanks  MATHSIII (Electrical) 
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MODULE1 1. Solve Exact Differential Equation (Given any value) by using Laplace transform. 2. Find Laplace transform of (Given any Numerical) MODULE2 1. Find the Inverse Laplace Transform of (Given any Numerical) 2. By using convolution theorem find the Inverse Laplace transform of(Given any Numerical) MODULE3 1. Find the range Fourier sine series for f(x)= (Given any value) 2. Obtain Fourier series for f(x) = (Given any Value) Hence deduce that (Given any value) 3. Show that the set of limitations(Given any value) Is orthogonal over (Given any value). Hence construct orthonormal set of functions. 14. Define Orthogonal set of functions on (a,b) Show that the functions. (Given any Numerical) MODULE4 1. Evaluate (Given any value) where C is the boundary of the surface of hemisphere (Given any value) lying above the xy plane . 2. Prove that a vector field (Given any value)is given by (Given any value) is irrotational Hence find its scalar potential. 3. Prove that (Given any value)is solenoidal. 4. Show that the vector (Given any value) is irrotational 5. Show that(Given any value) , is a conservative field. Find its scalar potential such that (Given any value) and hence, find the work done by (Given any value) in displacing a particle from A(0,0,1) to B (1,/4,2) along straight line AB. MODULE5 1. Using Gauss Divergence theorem, evaluate (Given any value) and S is the cube bounded by (Given any value). 2. Evaluate by Green’s theorem for (Given any value) where C is the rectangle whose vertices are (Given any value). 3. By using Stokes theorem evaluate (Given any value) where (Given any value) and C is the boundary of the hemisphere(Given any value). MODULE6 1. Find a bilinear transformation which maps z = 1, 1, 1 into w = 0, i, ∞ and hence find the fixed points. 2. Show that under the transformation (Given any value) the circle (Given any value) the circle is mapped to the circle (Given any value) 3. Prove that Bessel Function (Given any Numerical) 4.Find the analytic function f(z) whose real part = (Given any value) 5. Prove that (Given any value) is harmonic function hence find its corresponding harmonic conjugate orthogona 
