Category VTU

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:-

Find the Laplace transform of the square–wave function of period a given by

Find the Laplace transform of the square–wave function of period a given byf(t)= 1, 0<t<a/2-1, a/2<t<2 Answer:-

Find the Laplace transform of e^-3t sin5t cos3t

Find the Laplace transform ofi) e-3t sin5t cos3tii) Answer:-

Find the inverse Z-transform

In this article, you will get the answer of Find the inverse Z-transform of from Model question paper 1 of Transform Calculus, Fourier Series and Numerical Techniques[M3] or 21MAT31. 6.c) Find the inverse Z-transform…

Find the Fourier sine transform of

In this article, you will get the answer of Find the Fourier sine transform of f(x)= x, 0<x<1; 2-x, 1<x<2; 0, x>2 from Model question paper 1 of Transform Calculus, Fourier Series and…

Obtain half-range sine series for 𝑓(𝑥) = x

Obtain half-range sine series for𝑓(𝑥) = x, Answer:-

Find half-range Fourier cosine series for the function f(x)= (x-1)² , in 0<x<1

Find half-range Fourier cosine series for the function f(x)= (x-1)2 , in 0<x<1, and hence show that Answer:-

Solve by using Laplace transform techniques 𝑦′′ − 3 𝑦′ + 2𝑦 = 𝑒^3𝑡 ,𝑦(0) = 1, 𝑦′(0) = −1

Solve by using Laplace transform techniques 𝑦′′ − 3 𝑦′ + 2𝑦 = 𝑒3𝑡 ,𝑦(0) = 1, 𝑦′(0) = −1 Answer:-

Find the curves on which the functional ₀∫¹ [(𝑦′)² + 12𝑥𝑦] 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(1) = 1

In this article, you will get the answer of Find the curves on which the functional 0∫1 [(𝑦′)2 + 12𝑥𝑦] 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(1) = 1 from Model question…