Q? Is Tz d² dez a linear operator ?

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A: t+1=1xt=1x-1y = 1x-12+3 = 1x+1-2x+3 = 1x-2x+4

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A: The complementary function of the given question can be easily obtained by putting the auxiliary…

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Q: For which values of n is the function y x" a solution of the differential equation xy – 3.2ry-6v = 0

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Q: The characteristic equation of a system is given as 3s* + 10s3 + 5s? + 2 = 0 ,This system is :

A: Answer: (c) Unstable

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A: Given system is a damped vibration with external force u (t)

Q: Q4. Derive the governing differential equations for the system shown below. T(t) 0,(1) 04(1) 26…

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Q: 3k 2k a) Determine DoF b) Obtain governing equations.( hari tntal plane)

A: a) As we can see from the figure that there are two masses which are not connected by a rigid link.…

Q: The differential equation of the system is

A: Option (b) is Correct.

Q: We are considering a homogeneous linear system Ax b, where b = 0 and with A being an nxn, then the…

A: From Homogeneous linear system Ax = b  Where b = 0 One solution is non zero then it is non trivial…

Q: ow small does a physical system have to be to qualify as a lumped-parameter system

A: we have to discuss when we can assume if a system is lumped.

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Q: 20k 武 D. EV 5' 30k B. find internal forces in members of thtruss shaun. 4.

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Q: T(x)=-Qx/k+TL-x/k[h(TL-T-)+E0(TL-Tair*)] Tarod

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Q: Let's say that the semiempirical binding energy formula is Eb= aA-bA^2/3 - s(N-Z)^2/A -dZ^2/A^1/3…

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Q: Using an appropriate method, find the general solution for the following differential equation, dy…

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Q: A disc of diameter 2.5 m is rotating with a speed of 25 rps. Find the linear velocity of the disc. O…

A: Given data  diameter of disc (d) = 2.5 m  speed (N) = 25 rps   To determine  linear velocity of disc…

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A: Find the inverse laplace of the given function.

Q: Calculate the power dissipated in Rs, as shown in Fig. (1). R1-6n www R2-30 R3=6n R4-2 n E= 19.8 V…

A: Given: voltage→V=19.8 v To find out the current supplied in the circuit, we have to find out the…

Q: Dv 1 -+-V(v•v)-vx(Vxv) Dt at 2 where Dt +v.V is known as the "substantial derivative" operator = -

A: It is to be proved as, DvDt=∂v∂t+12∇v·v-v×∇×vWhere,DDt=∂∂t+v·∇

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Q: Consider the following differential equation: 5- dt2 + 204 + 100z3 = 800 z (0~) = 0.5 (0-)= –0.8…

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Q: DOF of a system is defined by the minimum dependent coordinates that made a position of a system…

A: Given Statement:- DOF of a system is defined by the minimum dependent coordinates that made a…

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A: Calculating the velocity in m/min.

Q: Initially the temperature of an object is 70°C, it is taken outside. The temperature of the…

A: Given: The temperature of the object, Ti1 = 70 C The temperature of the surrounding, To1 = 20 C The…

Q: Q5: Solve the differential equation by using Laplace Transformation method? y" + 2y' + 2y = 5 y(0) =…

A: The differential equation is written as, The variables are written in Laplace form, Now, the…

Q: Find the general solution for the following first order D.Es? b) x*dy + (y? - xy)dx 0 d) (x + xy -…

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Q: scene from orthogonal þrojechon matria fo transform normalized Deive a Volume to device coordenates…

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Q: V: Use the chain rule to find the derivative of w= x² + y? with dw respect to t dt with x = cos t +…

A: Use chain rule to solve this problem

Q: The value of the constant a of (r² + 5æy)dr + (ax² + 3y²)dy if the differential equation is exact,…

A: EXACT DIFFERENTIAL EQUATION: The differential equation Mdx+Ndy=0, is said to to be exact…

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Q: s, obtain the transfer function Qo(s)/QRs). Tank 2 Tank 3 Tank 1 A, + h, A, + hg R 91 Q + 92

A: The transfer function are given as follows

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A: The properties which are independent of mass are known as intensive properties. The Extensive…

Q: www 3k 2k k a) Determine DoF Obtain governing equations. (hari tontal plane)

A: J

Q: Show how to calculate moments about a point in 2-dimensional and 3- dimensional systems.

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Q: 8. The potential energy of an apple is 6.00 joules. The apple is 3.00-meters high. What is the mass…

A: GIVEN DATA - h=3m POTENTIAL ENERGY P.E.=6J WE HAVE TO FIND MASS OF APPLE