25.18 The following is an initial-value, second-order differential equation:d²x + (5x) dx + (x + 7) sin (wt) = 0dt²dtwheredx (0)(0) = 1.5 and x(0) = 6dtNote that w= 1. Decompose the equation into two first-order differential equations. After thedecomposition, solve the system from t = 0 to 15 and plot the results of x versus time and dx/dt versus time.

To decompose the given second-order differential equation into a system of first-order differential…

Answered: 25.18 The following is an…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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please solve it in clear note: The fifth section solved it by using MATLAB i need all qusestion solved 1-9 For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 time F(t) time 12 14 44 19 33 34 12 22 0.60 25 0.45 0.50 0.55 0.65 0.70 0.75 0.80 0.85 Force 32 11 18 30 49 40 35 21 time 0.90 0.95 F(t) 11 m +x F(1) 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration system. 4- Use the generated plot in part 3 to verify the value of the damping constant, c. 5- Find the steady state solution (only particular solution) for the forced vibration system. Take number of terms in your Fourier series terms from this range [ 30 – 55). 6- Plot the force in the table, and the…
The values of p and h which renders (makes) the following set of equations dynamically and statically decoupled are, respectively. k,+k2 5 p+4 x1 = 0, X2 7 h+1 + [7h+1 J+e 5 p+4 J+e h= -0.214 and p = -1.76 h = -0.143 and p= -0.8 h = -0.281 and p= -1.2 h = -0.081 and p = -0.536
Determine if the system is consistent or inconsistent. Justify your answer and find all solutions to the system of linear equations. Justification should be written on your solution paper. Transform the matrix into ROW ECHELON FORM (REF) using row operations. 2x +8y+ 6z = 20 4x+2y-2z =-2 3x-y+z = 11 Enter final answer: (x, y, z) =(
'p' (liquid density 'A' (tank cross sectional area) 'Qin' (Input Flow Rate) "Que P 'R' (restriction coefficient) '' (head of liquid) dh Qin = A + dt Figure 1 The single tank system (Figure 1) has been modelled by the first order differential equation given as equation. The equation describes the relationship between the input flow rate entering the tank and the head of liquid in the tank. ph R 5 m equation The following constants are provided: R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s A pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹. (1) Using Laplace Transforms, solve equation and provide an expression to show how the level in the tank will vary in time after the step input has been applied.
What is the return type of angles function in MATLAB ?
Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system (PVT) as shown in Figure 1(a). The following set of differential equations represent energy balance equations to be solve using matrices and eigenvalues using MATLAB: dTglass = -0.75Tgtass + 0.75TpvT (1) dt - 1.187glass – 22Tpyr + 23Twax (2) dt dTwax 12Tglass + 18TpyT – 19 Twax (3) dt Where, Tgtass , TPVT, and Twax, are temperatures illustrated in Figure 1(b). At time t-0 the initial conditions are Tglass = 35 , Tpyr = 33, and Twax = 31 °C. Cold suppty In frem water Tank Glass PVT Espann Nane-PCMPVT Collector Wax Tubes Sterg Tank Nanofluid Heat Exchanger Contalner Tepe Teek oe Pump for drain
Convert the following 4th order ODE into a system of four first order ODES of the form dy/dt f(t,y). Remember to account for initial conditions in the system you create. 4y"'(t) – 8y"' (t) + 2y"(t) + 16y'(t) – 4y(t) = 20e2t y(0) = 3, y'(0) = 4, y"(0) = 7 and y"'(0) = = 13 2:36 PM 73°F Mostly cloudy 3/4/2022
Consider the following Initial Value Problem (IVP) dy /at = -t * sin (y); y(t = 0) =1 Solve for y(t=0.5) using a) Forward Euler method with At = 0.25. (Solve by hand) Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use the time step levels given below and plot t vs y in the same plot. Include the plot with the right format (axis labels, legends, ...) in your solution sheet and include your Matlab script in the solution as well. i) At = 0.25 ii) At = 0.125 b) Backward Euler method with At = 0.25 (Solve by hand)
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Response using matlab.
Using MATLAB to find the maximum.
The 2nd order ODE given below models the vertical fall of on Object under the influence of gravity and air friction md²y acceleration -mg + (1/2 Co A Pair) (dy) ² Forcing due logranty Forcing due to air friction

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