Solve by using Laplace transform techniques
Solve by using Laplace transform techniques with x(0)=2 and x'(0)=-1 Answer:-
Solve by using Laplace transform techniques with x(0)=2 and x'(0)=-1 Answer:-
Find the inverse Laplace transform of Answer:-
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 of Answer:-
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 ofi) e-3t sin5t cos3tii) Answer:-
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, and hence show that Answer:-
Solve by using Laplace transform techniques 𝑦′′ − 3 𝑦′ + 2𝑦 = 𝑒3𝑡 ,𝑦(0) = 1, 𝑦′(0) = −1 Answer:-
Express the following function in terms of unit step function and hence find its Laplace transform f(t)= 1, 0<t<1 2t, 1<t<2 3t, 2<t<3 Answer:-