Need help doing problem 1 and 2 Problem #1: Determine the steady state solution for the...
The objective of this question is to find the solution of the
following initial-value problem using the Laplace transform.
The objective of this question is to find the solution of the following initial-value problem using the Laplace transform y"ye2 y(0) 0 y'(0)=0 [You need to use the Laplace and the inverse Laplace transform to solve this problem. No credit will be granted for using any other technique]. Part a) (10 points) Let Y(s) = L{y(t)}, find an expression for Y(s)...
Partial Differential Equations : 8+1 pts) the following Heat problem or (o,)-1, (1-2 0 e steady state solution y(x). e transient solution ω(x,t) using the corresponding homogenous Heat proble ll the steps). e complete solution of (1).
Partial Differential Equations : 8+1 pts) the following Heat problem or (o,)-1, (1-2 0 e steady state solution y(x). e transient solution ω(x,t) using the corresponding homogenous Heat proble ll the steps). e complete solution of (1).
0.1.For the following Laplace transform, F(s) a) Determine the steady state solution fs using the Final value theorem. b) Find the corresponding time function f(t) using partial fractions. a Use block diagram reduction to obtain the transfer function YIR of the following feedback system. Fuc R(s) Manifold Air b Ga(a) G1) Pressure Sparks pai FIQUREdle soed cortenal aetem
0.1.For the following Laplace transform, F(s) a) Determine the steady state solution fs using the Final value theorem. b) Find the corresponding...
Doing a system dynamics problem I have found a transfer function to be 1/(2s+4). Can you show me how to get the transient, steady state as well as the homogenous, particular solutions? Each pair added should be equivalent but my answers are not agreeing. By taking inverse laplace I found v(t)= (1/2)(e^-2t) which I believe is the transient and Steady state = 0. Based on the initial condition v(0)=0, v,homogenous should equal zero. The input is a unit impulse (A=1) so...
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
(2) Given the system -3 2 (t) =1-1-1 with zero initial conditions, find the steady-state value of the state vector r for a unit step input a(t) = 1(t).
3) (25 marks) Consider the following problem: u2(0,t) 3, u(2,t)u(2,t), t>0 u(,0) 0, 0<2 (a) Find the steady state solution u,(x) of this problem. b) Write a new PDE, boundary conditions and initial conditions for U(x, t) - u(x, t)- Cox) (c) Use separation of variables to find a solution to the PDE, boundary conditions and initial conditions. You must justify each step of your solution carefully to get full marks. (Hint: if you are unable to write the eigenvalues...
Section 6.2 Solution of IVP Section 6.2 Solution of I.V.P: Problem 4 Problem 4 User Settings Previous Problem Problem List Next Problem Grades (1 point) Use the Laplace transform to solve the following initial value problem: Problems C y" +by' = 0 y(0) = 2, y'(0) = 1 a. Using Y for the Laplace transform of y(t), i.e., Y = C{y(t)}, find the equation you get by taking the Laplace transform of the differential equation b. Now solve for Y(8)...
Please help solving all parts to this problem and show
steps.
(1 point) Use the Laplace transform to solve the following initial value problem: x' = 5x + 3y, y = -2x +36 x(0) = 0, y0) = 0 Let X(s) = L{x(t)}, and Ys) = L{y(t)}. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for YS) and X (s): X(S) = Y(s) = Find the partial fraction decomposition of X(s) and...
Help with this problem please. Thanks. Final exam
coming so I will be studying your worked out solution, thanks
again.
(1 point) Use the Laplace transform to solve the following initial value problem: "+8y'-0 (0) 1, y (0)3 First, using Y for the Laplace transform of y(t), ie., Y Cy(t)). find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(s) ! and write the above answer in its partial fraction decomposition, Y...