19.A cubic block of side l and mass density ρ per unit volume is floating in a fluid of mass density ρ0 per unit volume, where ρ0 > ρ. If the block is slightly depressed and then released, it oscillates in the vertical direction. Assuming that the viscous damping of the fluid and air can be neglected, derive the differential equation of motion and determine the period of the motion. Hint: Use Archimedes'12 principle: an object that is completely or partially submerged in a fluid is acted on by an upward (buoyant) force equal to the weight of the displaced fluid.

Q: 5. Which statement is true about solutions of y(x), as a differential equation whose slope field is…

A: Correct option is A

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Q: Determine the result of this Differential Equation using Boundary Value Problem theory Y ” + 5 Y =…

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A:

Q: ) Suppose a spring with spring constant 9 N/m is horizontal and has one end attached to a wall and…

A: Given, Spring constant k=9N/m, Mass m=4kg and friction of the floor a=1 N.s/m. (a) Therefore the…

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A:

Q: 1. Draw and obtain the differential equation of a circles having its center on the line x =y and…

A: 1.

Q: obtain the differential equation of the family of straight lines passing through ( 0,1)

A:

Q: 3. Plot the slope field for the differential equation = y² – x and sketch the solution for the…

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A:

Q: Decide if the differential equations whose slope fields are shown below involve only x, only y, both…

A: To Find: Decide if the differential equations whose fields are shown above involves only x, only…

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A: Answer:

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A: Consider the provided question, (b)

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A:

Q: Use separation of

A: Given,                     7dydθ=eysin2θysecθ.

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A:

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A: Given: x2=Axy+By, where A and B are arbitrary constants.

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Q: An electric circuit, consisting of a capacitor, resistor, and an electromotive force can be modeled…

A: Please see below pictures for detailed solution.

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A: Given:    mg = 2    s = 1.5 inches = 1.5/12 = 1/8 feet     g = 32

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Q: Estimate the value of 217(1/3) a. approximation b. differentials

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Q: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

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A:

Q: Suppose a spring with spring constant 6 N/m is horizontal and has one end attached to a wall and the…

A: Given that, the spring constant k=6 N/m, the mass m=3 kg and friction b=3 N.s/m. a. Obtain the…

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Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

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Q: What is the slope field of a differential equation y' = ƒ(x, y)? What can we learn from such fields?

A:

Q: (1/4) Estimate the value of 82 a. approximation b. differentials

A: To estimate the value of 8214 by using a approximationb differentials

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Q: 1. A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   kg . the spring…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.