For differential equations just show all work clearly Find the general solution of the given differential equation.xy+ xy 99 In(x)Y(x) =9 In(r) CGive the largest interval over which the general solution is defined. (Think about(0,00)(0, 0c)Determine whether there are any transient terms in the general solution. (Enter th9 In(x|) c9 In(x) CNeed Help?Read ItWatch ItE Show My Work (Optional) ?4. [3/3 Points]DETAILSPREVIOUS ANSWERSZILLDIFFEQMODAP11Find the general solution of the given differential equation.MacB

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Answered: Find the general solution of the given…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The surface area S of a metal cylinder is given by S = 2ar² + 2rh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. if the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to eștimate how bad the relative accuracy of the surface area can be. Don't round anawes unless the instructions request approximations, or as part of checking your Own work.
Please solve and explain this differential equ
A car and a truck leave the same place and travel in the same direction along a straight road. The car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s² and then runs at this speed. The truck leaves 40 seconds after the car with a uniform acceleration of 1/3 m/s² from rest to attain a speed of 48 kph and then travels at this speed. How soon after the car started will the truck overtake the car?
In the previous Problem Set question, we started looking at the position functions (t), the position of an object at time t. Two important physics concepts are the velocity and the acceleration. If the current position of the object at time is as (t), then the position at time h later is a (t+h). The average velocity (speed) during that additional time his (s(t+h)-s(t)) If we want to analyze the instantaneous velocity at time t, this can be made into a mathematical model by taking the limit as h→0. i.e. the derivative a' (t). Use this function in the model below for the velocity function (). h The acceleration is the rate of change of velocity, so using the same logic, the acceleration function a(t) can be modeled with the derivative of the velocity function, or the second derivative of the position function a(t) = ✔ (t) =" (t). Problem set question: A particle moves according to the position functions (t) = etsin (2). Enclose arguments of functions in parentheses. For example, sin…
In order to keep the songbirds in the back yard happy, one person puts out 14g of seeds at the end of each week. During the week, the birds find and eat 70% of the seeds. The DTDS for the amount of seeds in the back yard at time t where t is measured in weeks and seeds are counted just after a new supply is given by Xt+1 = 0.3х, + 14 Which of the following is an equation for the general solution of this DTDS, based on an initial seed quantity of 50g? None of the above/below Xt = (0.7)'(50) + 50 Xị = (0.3)'(30) + 64 Xt = (0.3)'(30) + 20 X; = (14)'(50) + 20 Xị = (0.7)'(30) + 20 = lx

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