Category 21MAT31

Using z-transformation, solve the difference equation

In this article, you will get the answer of Using z-transformation, solve the difference equation 𝑢𝑛+2 + 4𝑢𝑛+1 + 3𝑢𝑛 = 3𝑛 , 𝑢0 = 0 ,𝑢1 = 1 from Model question…

Find the inverse z –transform

In this article, you will get the answer of Find the inverse z –transform of from Model question paper of Transform Calculus, Fourier Series and Numerical Techniques[M3] or 21MAT31. 6.b) Find the inverse z…

Find the Fourier transform

In this article, you will get the answer of Find the Fourier transform of , 𝑎 > 0. Hence deduce that it is self-reciprocal in respect of the Fourier series from…

Find the Fourier cosine and sine transforms

In this article, you will get the answer of Find the Fourier cosine and sine transforms of 𝑒−𝑎𝑥 from Model question paper of Transform Calculus, Fourier Series and Numerical Techniques[M3] or 21MAT31. 5.b) Find…

Find the Fourier transform of

In this article, you will get the answer of Find the Fourier transform of 𝑓(𝑥) = 1 , |𝑥| ≤ 1 0 , |𝑥| > 1Hence evaluate from Model question paper…

Find a Fourier series to represent 𝑓(𝑥) = 𝑥² 𝑖𝑛 − 𝜋 ≤ 𝑥 ≤ 𝜋

Find a Fourier series to represent 𝑓(𝑥) = 𝑥2 𝑖𝑛 − 𝜋 ≤ 𝑥 ≤ 𝜋 Answer:-

Solve by using Laplace transform techniques

Solve by using Laplace transform techniques with x(0)=2 and x'(0)=-1 Answer:-

Find the inverse Laplace transform of

Find the inverse Laplace transform of Answer:-

Using the unit step function, find the Laplace transform of

Using the unit step function, find the Laplace transform off(t)= cos𝑡, 0 ≤ 𝑡 ≤ 𝜋cos2𝑡 , 𝜋 ≤ 𝑡 ≤ 2𝜋cos3𝑡 , 𝑡 ≥ 2𝜋 Answer:-

Using the convolution theorem find the inverse Laplace transform

Using the convolution theorem find the inverse Laplace transform of Answer:-