Home /
Expert Answers /
Advanced Math /
question-1-this-question-is-related-to-the-differential-equation-y-39-2y-7t-5-with-the-initial-pa752
(Solved): Question 1. This question is related to the differential equation y^(')+2y=7t^(5) with the initial ...
Question 1. This question is related to the differential equation
y^(')+2y=7t^(5)with the initial condition
y(0)=1The following questions deal with calculating the Laplace transforms of the functions involving the solution of equation (1). Question 1.1 Calculate the Laplace transform of
y(t), i.e. find
L{y(t)}and enter it in the field that follows. Your answer must be a function of
s. Question 1.2 Find the Laplace transform
L{\int_0^t y(\tau )d\tau }i.e. the Laplace transform of the integral of the solution. Your answer must be a function of
s. Question 1.3 Find the Laplace transform
L{y(t)*t^(2)}which is the transform of the convolution of
y(t)and
t^(2).
