Find the Bolution to Hhe initial value problem - Please Write the folution with the computer.

Q: Solve the follow ing initial value problem: 3x(t2- 1)dt+ (t³ + 8x- 3t)dx= 0, t(0)= 1

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Q: Consider the initial value problem, y" + y' – 6y = 0, y(0) = 10, y'(0) = 0 %3D %3D Determine the…

A: Given differential equation is linear homogeneous differential equation with constant coefficients…

Q: y" + 12y' + 36y = 0, y(1) = 2, y'(1) = 0

A: First we will find the general solution of the homogeneous second order linear differential equation…

Q: dy Solve the initial value problem dt + 4t? + 4t , y(1) 10 t+1

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Q: The approximate value of y(3) for the initial value problem for ' = cost + sint, y (0)=0.5 with h=…

A: Correct option is (b) 2.631 Detailed solution : Given y′=cos(t)+sin(t),y(0)=0.5,h=0.5,y(3)=?Forth…

Q: Suppose that a shallow earthquake occurs in which the P waves travel 8 km/sec and the S waves travel…

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Q: y'' + p(x)y' + q(x)y = 0Here why only two initial conditions?

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Q: Solve the Initial Value Problem when r = 0.1 and h(0) = 6. Given the IVP in Part A, how long will it…

A: In this question, we have given a problem about the water leak from the circular cylinder. Given…

Q: plve the initial value problem given by y" + y = (x – 1)*, y(0) = 0, y'(0) = 0

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a…

A: The given question has been solved in detail.

Q: Suppose at the end of the d perature stays constant at M furnace/air conditioner rate A

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Q: A clamped beam of length 3 is modeled by: y(4) = 24, y(0) = y'(0) = 0, y(3) = y'(3) = 0. Solve the…

A: The given differential equation is y4=24, with y0=y'0=0 and y3=y'3=0 Now we integrate the given…

Q: At noon Person A is 15 km east of person b. person A is walking west at 3km/h, and person b is…

A: initially A and B apart 15 km apart that  person A moves towards west at rate (da/dt) = 3 km/hr…

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a…

A: Here is the solution

Q: Find the function which solves the initial value problem dy/dx=2x−2, y(2)=−7 y(x)=?

A: The solution is:

Q: Suppose you have a 200-gallon tank full of fresh water. A drain is opened that removes 3 gal/sec…

A: Let the concentration of brine =x lb/gal Amount of salt entering in per minute = 2 gal1 min×x lb1…

Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic…

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Q: Solve the initial value problem dz/dt=cost−2sint, z(0)=5.

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Q: Compute for the initial velocity of 3÷(cos(45)×38. Show your complete solution

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Q: 5. Consider the problem: A water bucket is being filled with water from a water faucet at a constant…

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Q: A 400 - V, 10 h.p (metric), 3 - phase synchronous armature resistance and a synchronous reactance of…

A: Solution...

Q: 8. An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec. . If…

A: Given that  Velocity of express train =40km/hr  Breaks apply at 50sec Retardation =0.5m/sec^2 To…

Q: Solve the following initial value problem. = - 4cos(2t + x), s'(0) = 300, s(0) = 0 dt? (Type an…

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Q: If 150 g of copper at initial temperature of 50 °C gains 6930 J of heat when it is cooled to 170°C.…

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Q: Based on historical data for population growth rates and the initial number of eagles present in a…

A: Topic-basic maths

Q: Solve the initial value problem. ds cost- sint, s5| = 6 dt O A. s= sint+ cost+5 O B. s= sint+ cost+7…

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: A flag is raised vertically from a pole at a constant rate of 1m/s. A point B on the ground level…

A: Given: Vertically raising speed of flag at constant rate=1 m/s……1Horizontal distance from flagpole…

Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

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Q: b) Suppose a ball is thrown downward with a speed of 8 meters per second from a height of 75 meters.…

A: Given: Suppose a ball is thrown downward with a speed of 8 meters per second from a height of 75…

Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

Q: The brakes of a car are applied when it is moving at 80 km/h and provide a constant deceleration of…

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Q: A 24-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a…

A: If weight of mass m is attached to a spring with spring constant k and damping constant β then by…

Q: At noon a car starts from rest at point A and proceeds with constant acceleration along a straight…

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2, where k is a…

A: Use simple velocity, distance, acceleration formula.

Q: Consider a scenario in which a 20ft tall lamppost lights up a street. (a) A 5ft tall woman stands…

A: Length is a measure of distance. In the International System of Quantities, length is a quantity…

Q: A 16-lb weight is attached to the lower end of a coil spring sus-pended from the ceiling and having…

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Q: y' = y° In(x)-2;y(1)=1

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Q: Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a…

A: Given Constant Velocity u=19.5 m/sInitial mass mo=0.7kgGravity g=9.81 ms-2Time t=0.3 second,…

Q: A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution  containing 1…

A: It is given that a 50 gallon tank initially contains 10 gallon fresh water. A brine solution with 1…

Q: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s?, how long will it take…

A: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s2 .We have to find  how…

Q: ev dy Solve the initial value problem given by y(1) = 2. %3D dx y

A: Differential equation: A differential equation is an equation which involves one or more derivatives…

Q: A 5m long ladder has its upper end leaning against a vertical wall and lower end on a perfectly…

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Q: 5. A cone-shaped ice cream is melting at the rate of 2cm/s in a manner that maintains its original…

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Q: Car A is traveling west at 50 mih and car B is traveling north at60 mih. Both are headed for the…

A: Since, we have been given that Car A is travelling west at 50 mi/hand Car B is travelling north at…

Q: Solve the initial value problem. ds dt I cost- sint, s = 3 2

A: To solve the initial value problem.

Q: If the basketball hoop is 10 feet high and located 15 feet away, what initial velocity v should the…

A: It is given that the basketball hoop it 10 feet high and located 15 feet away.

Q: Consider the initial value problem, y" + y' – 6y = 0, y(0) = 10, y'(0) = 0 Determine the value of…

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Q: A 60-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 Ib…

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Q: A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32…

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Q: A flag is raised vertically from a pole at a constant rate of 1 m/s. A point B on the ground is…

A: solution:- draw a right angle triangle:-

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.