The value of the constant a such that the given differential equation is exact dr+ y? 1 dy =0 is O 2 O-3 O -2 O 3

Q: Q? Is Tz d² dez a linear operator ?

A: Given: T=d2dt2+t2

Q: Find the domain ofthe following equations: x+5 y = Vx? -16

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Q: dar Grub planar mcchanism to be one. The mumber of degrees of freedom for below mentioned…

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Q: Solve the differential equation dy y²sin(2r)sin°(x) = 0, y(0) = 1 dr

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Q: Solve the given differential equation: (a + xy? + y) d + (y³ + x²y+ x) dy = 0

A: The given equation x3+xy2+ydx+y3+x2y+xdy=0 is in the form of  Mdx+Ndy=0∂M∂y=∂N∂x…

Q: 27. Which of the following integrals is equivalent to f cosxdx if u = V1- sin'x ? sinx V1- sin'x du…

A: GivenI=∫cosxdxsinx1-sin3xif u=1-sin3x

Q: The particular integral of the differential equation (D + 3) (D+5)y=3+ sin?z + cos²z is__ 6 15 15 15…

A: given; →(D2+3)(D+5)y=3+sin2x+cos2x→perticular integration=?

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: Determine the exact solution of the following differential equation y = 2-y at y(0)=1. So the value…

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Q: Solve the given differential equation by separation of variables. dy = sin(7x) xp

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Q: Q-2. Form the differential equation by eliminating the arbitrary constants y = a csc z+b cot r

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Q: The switch in the circuit below has been open for a long time before it is closed at time t=0. We…

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Q: 3. Using the inverse kinematic method, determine the angle q1 and q2 in degrees if the end effector…

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Q: Electric field due to q2 at point p1 is (-1667.0) i + (18340.0) j Electric field due to q3 at point…

A: Solution:   A vector can be added by simply adding the respective unit vectors coefficients.  To…

Q: Iny x" = 4y+1 13. What is the value of x in the system of equations Inx =y+ 10] A) 11.21

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Q: Use your calculation to show me: | sin 0 do = 0 27 sin? 0 de = n

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Q: Find the linearization of the equation: 0 = ( +m )* + mg sin 0

A: m+JR2θ¨+mgsinθ=0sinθ≈θm+JR2θ¨+mgθ=0

Q: Using the inverse kinematic method, determine the angle q1 and q2 in degrees if the end effector…

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Q: Determine the following function is differentiable F (z) e?

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Q: The differential equation: a + 6 + ca = 0 dt dt has a solution given by: y = e (A sin Bx + B cos Bx)…

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Q: d'y 1. Find the order and degree of the differential equation: dy +5- drº = 17 sin r. dx

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Q: 4) (x² + 2y²); = xy dy y(-1) = 1 ху

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Q: Q/ Evaluate the following integrals. TC 2 √In ²7²7 e* sin(e) dx

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Q: For the given data shown. the value * :A1 is 200 mm 30 m A1 Neutral Ais NA 0 mm A2 Relerence Line 40…

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Q: I. Solve the following manually using separable differential equations method. 7. xcos?y dx+ tan y…

A: Given Dataxcos2ydx+tanydy=0we have to solve by using Seperable method Equations

Q: Find the general solution of the differential equation. 55y +49y"+4%3D0 (4) y(x) =O

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Q: What is the Laplace inverse of (2S+1)/(S^2-2S+2)? Select one: 2e t sin(t) + Be^txcos(t) Bert sin(t)…

A: L-12S+1S2-2S+2=?L-1FCS where ,⇒ FS=2S+1S2-2S+2

Q: 39. What is the general solution of the differential equation (xy - 2y²)dx –x²dy = 0? A) 2 Inx - = c…

A: The correct answer is option (A). 2 ln(x) - ( x / y ) = c

Q: Eliminating the arbitrary constant A in the equation y = sec*(x – A) will lesd to which of the…

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Q: Use the D-Operator method to solve the following differential equations: d²x dt² 3.1 3.2 d'y dx²…

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Q: Find the value of the variables a and b of the given linear equation below. a+b=2 || 2a + b = 1 За +…

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Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

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Q: Consider the following 2 equations: • x+ 2y = 3 • 4x - 5y =6 What is the value of y? 0.9452 -0.1748…

A: Given Two equations x + 2y = 3 4x – 5y =6 To find The value of y

Q: 1 is the current flowing in the left mesh. 12 is the current flowing in the right mesh and 13 is the…

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Q: 1. Determine the general solution of (x + 3y)dx – x dy = 0

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Q: Solve the following differential equation: dy 2y – x*e-2x = 0 dx

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Q: 1)State the order of each of the following differential equations b) y'' + 2y" + y'=0

A: Answer: The order of given differential equation ( y"'+ 2y" + y' = 0 ) is 3.

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

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Q: According to the figure below, the Potential energy in Point 3........potential energy in point 1.…

A: Option (C):  According to the figure below, the Potential energy in point 3 is higher than potential…

Q: A. Find the values of a such that vectors and are orthogonal . 1 B. Find the domains of the…

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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…

Q: Obtain the general solution to the equation. dy (x2 + 25) + xy =7x, y(0) = 1 dx

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Q: Solve the second order homogeneous differential equation y " -6y'- 7y = 0 with intial values y(0) =…

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Q: Find the relation between backwards finite difference and average operator.

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Q: Solve the following: 1 1- lim r-1 In r Answer =1/2 2-lim Vx +6x -x ? Answer =3 - TTX 3- lim(tan -…

A: 1. Given: The function, y=limr→1rr-1-1lnr

Q: How to solve these two equations, to find IJ (kN) and ID (kN)? x: -IJ*cos37.5º…

A: all trigonometrical values are put.  equation is converted into ax +by =c form and solved.

Q: 1-Using the superposition theorem, find vo in the circuit in Figure below. Answer: 12 V. www 8A 20 V

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Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 S 27.) (a) (3V3, 3, -1) (b)…

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.