Q-3) Solve the following initial value problem y"+9y = 18t , with y(0)=0 and y'(0)= 6 by the method of Laplace Transform.

Q: 6x + 2y9z = 10x9 7y + 10z7-7x + 7y 5x + z-10 = (x+y+z)

A:

Q: Find the transfer function for the following with also: (i) Free Body Diagram (ii) Block Diagram…

A: Given : To find: Transfer function

Q: The function p. = e ($1, $2) gives the position of the end-effector of the following kinematic chain…

A:

Q: Given the data below: I = 0x Axo) = 2 X1= 2 X2 = 4 Axi) = 3 Ax2) = 8 (i) Calculate the second-order…

A:

Q: Determine transfer function of Figure 2. G(s) = X2(s)/ F(s). X:(t) X2(t) 1N/m 1 N-s/m 1N/m 00004 kg…

A:

Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 M Q-13)For…

A: Write the given function to be maximized. z=10x1+5x2 Convert the inequalities of the constraints on…

Q: 6. c) Find the corresponding ODE of the following transfer function. 2s +1 s² + 6s+2 G(s) =

A: The ordinary differential equation (ODE). Given: The transfer function is Gs=2s+1s2+6s+2.

Q: Consider the following rotational mechanical a. Apply the "by inspection" method in Laplace domain…

A: Given: To find: Equation of motion Solve for q1(s) Transfer function

Q: Use the Lax method to solve the inviscid Burgers' equation using a mesh with 51 points in the x…

A:

Q: For the following, use the spring equation: d'y e dy + dt² m dt +-y=0 TIL with c 4, m 1, and the…

A: Given Data: d2ydt2+cmdydt+kmy=0 c=4, m=1initial conditionsy(0)=2 and y'(0)=0k=5 Find: (a) Find the…

Q: Find F(1) OF THE LAPALCE TRANFORM FUNCTION

A: Given; F(s) is the laplace transform of the function,            f(t)=2t2e-t Therefore we have to…

Q: Find the Laplace transform fraction for the following function and rearrange it such that X(s)/F(s)…

A: The ggiven equation of motion is,x⃛(t)+2ζωx¨(t)+ω2x˙(t)=f(t)all zero initial condition.To…

Q: For Numbers 3-5. Solve the Laplace transform of the following using the formula. 3. F(t) = e-2t-5 4.…

A:

Q: Solve for the laplace transform using the formula. F(t) = e-2t-5

A:

Q: 2. Find the transfer function, G(s) = X3(s)/F(s), for the given translational mechanical system. 6…

A:

Q: 4- Consider figure represented below: If the number of finished goods x5 is 10,000 then what is the…

A: From the above diagram, the relations in the number of goods are given as   For x2, For x3, For…

Q: Explain part c please, why do you have flux symbol there?  Can you show work for limit to get…

A:

Q: Q.5: Solve the following linear programming model by using Graphical method on a graphical paper:…

A: Given Constraints:x+y≤15x+2y⩽10x-y⩽5To maximixe:Z=2x+3y

Q: 2. Use the laplace transform to solve for f(t) of the given differential equation. (10 pts) dx (0) =…

A:

Q: Solve the following initial value problem by Laplace transformatio y" +9y =10e, y(0) = 0, y'(0)= 0.

A:

Q: 2. f(t) = cos25t %3D

A: find the laplace transform of the function.

Q: d²y(t) dy(0) = 20u(t) y(0) = 25; dt dt2

A:

Q: Q2: Find the solution to the following linear programming problem using the Graphical method Max…

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Q: 95 Solve the following inverse transform Laplace transformations. 7s +15 8² +2

A: As per our guidelines we are supposed to answer only one question in case of multiple questions…

Q: Determine the inverse Laplace transform of the function: F(s) 7s-41s+84 (s-1)(s2 4s+13)

A:

Q: Solve for the differential equation of the below Transfer function (use inverse Laplace Transform…

A:

Q: Determine the value of F(1)

A: Given : F(s) is the Laplace transform of the function, ⇒f(t)=2t2e-t we have to find the function…

Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 2. t sin…

A:

Q: Calculate the Inverse Laplace transform of the following. Please write down all the steps of your…

A: Laplace transform concept is basically used in many mechanical control system devices. First partial…

Q: find the value of x³ + x – 1 = 0 Around x1 using the Newton-Raphson technique after checking the…

A: The function is given as, The derivative of the above function with x is given as, Now, put x=0 in…

Q: Consider the thermocouple properties you found in the question "Temperature of a thermocouple (1/3)"…

A: To Find:the maximum temperature.Given:The room temperature is

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y' – 18y = 0,…

A:

Q: Find the solution for following nonlinear equation using Newton-Raphson method: f(x) =…

A: f(x)= x^2 + x + 3sin(x) Initial guess, x0= -3

Q: The Inverse Laplace Transform for 5/3S - 2/ ((3(s+3)) is

A: According to the details provided in the question, we need to calculate inverse Laplace transform.

Q: FIND this InversE LAPLACE Trans form of the FOLLOwing FUNCTION. DO ALL WORK HAND By 25+3 5²+45+13

A: To determine the inverse of laplace transform of the following function

Q: Q 1/3 Using the simplex method, find the optimal solution for the following objective function: Маx…

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Q: Use the graphical method to find the optimal solution for the following LP equations: Min Z=10 X1 +…

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 3. t. te…

A:

Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.