Mathematics for ECE Stream (BMATEC301)

If x=c is a point of discontinuity then the fourier series of f(x) at x=c gives f(x)=

• f(c)

• f(c⁺)+f(c^-)/2

• 0

• none of the above

The value of b_n in the fourier series of f(x)=|x| in (-π,π) is

• 0

• π/2

• -π/2

• 2/πn²

• 0

• -π

• π

• π/2

Fourier sine transform of e^-x is

• u/u²-1

• u/u²+1

• 1/u²-1

• 1/u²+1

Fourier cosine transform of e^-3x (x≥0) is

• -3/9+u²

• 3/9+u²

• -3u/9+u²

• 3u/9+u²

If Z_T(u_n)=u῀(Z) then Z_T(Kⁿu_n) is

• u῀(Z/K)

• u῀(ZK)

• 1/Z

• u/Z

Z^-1[1]=

• Z

• n

• Z/Z-1

• 1ⁿ

Z-transform is used to solve

• Difference equation

• Differential equation

• Both Difference and Differential Equation

• None of these

The C.F of y^''-2y^'+y=x is

• c₁e^x+c₂e^-x

• (c₁+c₂x)e^x

• (c₁+c₂x)e^-x

• none of these

P.I OF (D²+4)y=cos2x is