Consider the non homogeneous ODE with a nonlinear term called b: dy + 2Aw- dt2 dy + w?y (1+ by²) = fo sin wst dt where w = 3.0; \ = 1/36; fo = 3; %3D Wi, = 1 and w = 2.9 And the initial conditions are y(0) = y'(0) = 0 Plot amplitude-force frequency (ypeak vs wf) for these three different b in a same plot: b = 0.25 b = 0 b = -0.25
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- Please explain all steps: What Boolean equation is represented by the following K-Maps: a) ~y~z ~yz yz y~z ~x 1 1 1 x 1 1 1 1 b) ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 wx 1 w~x 1 1 c) ~y~z ~yz yz y~z ~w~x 1 1 1 1 ~wx 1 1 wx 1 1 1 1 w~x 1 1 d) ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 1 wx 1 1 w~x 1 1 1The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/mPLEASE SHOW STEPS:What Boolean equation is represented by the following K-Maps: ~y~z ~yz yz y~z ~w~x 1 1 1 1 ~wx 1 1 wx 1 1 1 1 w~x 1 1
- What Boolean equation is represented by the following K-Maps:EXPLAIN STEPS ~y~z ~yz yz y~z ~x 1 1 1 x 1 1 1 1Consider the Z-transform of the impulse response h(n) shown below. If we define y(n) as the output of a relaxed system from the system described by its impulse response h(n), and input signal, x(n), determine the following:a. Output response from an impulse inputb. Output response from a unit step inputHere is the Berkeley Madonna code: {Top model} {Reservoirs} d/dt (Q) = + Stimulus - Imemb INIT Q = -65/cap {Flows} Stimulus = Intensity*SquarePulse(3,.5) {at t=3 of 0.5 duration} Imemb = IL+IK+INa {Functions} Intensity = 100 {microamps} cap = 1 E = Q/cap {Submodel "INa_"} {Functions} ENa = 50 INa = gNa*(E-ENa) GNaMax = 120 gNa = GNaMax*m*m*m*h {Submodel "m_gates"} {Reservoirs} d/dt (m) = + m_prod - m_decay INIT m = am/(am+bm) {Flows} m_prod = am*(1-m) m_decay = bm*m {Functions} am = 0.1*(E+40)/(1-exp(-(E+40)/10)) bm = 4*exp(-(E+65)/18) {Submodel "h_gates"} {Reservoirs} d/dt (h) = + h_prod - h_decay INIT h = ah/(ah+bh) {Flows} h_prod = ah*(1-h) h_decay = bh*h {Functions} ah = 0.07*exp(-(E+65)/20) bh =…
- We have a circuit that counts from 1 to 14. This circuit output (1,2,4,6,7) will turn on red light, (3,5,8,11) will turn green light, no light will come on behind it. a) Obtain the simplest form of the function with K-map. Draw its circuit. Note: There are no 0 and 15, X will be placed on these eyes. b) Draw the circuit as AND-OR. If there are common expressions, do not calculate twice. c) Draw the circuit with NANDs only.in matlab plot these graph y = -2pi to 2pi (1) x1 = sin(y)cos(y) (2) x2 = sec(y)sin(y) (3) x3 = sin(y-0.5)*cos(y) in a frameusing matlab 1. Plot the following functions on the same graph for x values from −2π to 2π,selecting spacing to create a smooth plot:y1 = sin(x)y2 = sin(2x)y3 = sin(3x).Adjust the plot so that• Line 1 is red and dashed.• Line 2 is blue and solid.• Line 3 is green and dotted.
- Construct the digital circuit with Logisim (or another online simulator) for following expression. The circuit has one output Q and three inputs A, B, and C. Also write the truth table. Q = ((A ⊕ B) + C̅)((A̅ ∙ B) + C)(A̅ + B + C̅) Solve asapWhat are the equations to perform function of the following: Denoted that input gray is "r" and output of intensity after transformation is "s" 1) gray level splicing 2) contrast stretchingSolve the system of ODE using ode45 in Matlab where: Time Range = [0 45] Initial/ Boundary Conditions: S(0) = 50, I(0) = 1, R(0) = 0, V(0) = 0 Parameters: beta = 0.0312, gamma = 0.2, nu or v = 0.02 p(t) is discontinuous varying to 1 when t is between 6 and 15 and 0 otherwise.