Solve homogenous equation y'''' - 8y''' + 24y'' - 32y' + 16y = 0

Q: Answer in complete solution this Differential Equation:…

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Q: Answer in complete solution this Differential Equation:…

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Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Year 2000 2004 2006 2010 2013 2016 2019 Cost($) 3510 4650 5800 7070 8650 9430 10230 Put into a…

A: Let's assume, year =x  and cost = y  year (x) 2000 2004 2006 2010 2013 2016 2019 Cost(y) 3510…

Q: You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 198 km south and 193…

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Q: how that the general solution of the differential equation 4z'' - 4z' - 3z = cos2x takes the…

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Q: How do you solve this using differential equations?

A: Given: The detective got a call at ten past midnight. He arrived at the crime scene in 20 minutes.…

Q: Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second squared…

A: Solve the problem according to given condition

Q: ху' 32хеx — у+ 6х? y +

A: simplifying the differential equation into linear form.

Q: The decay equation for a radioactive substance is known to be y = y₀e⁽⁻.⁰⁵⁴⁺), t in days. About how…

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Q: A differential equation is considered to be ordinary if it has A. one dependent variable B. more…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: +xy+(x-9)y=0 2 4 2.

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Q: Solve given differential equation. ydx-xdy+2dx=0 

A: The objective of the question is solve the differential equation.

Q: ~2 _ dar,ך3-א 3זר) ד2?ו? .מ

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Q: x’y" -2xy +2y=x 2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The average pulse rate (bpm) of a person with height h (in inches) is given by 432 B(h) = where 30 <…

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Q: (х+1)dy %3D (2xе* - ху - 2у)dx

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: The maximum number of rabbits, R, that an area can support is 100, there are currently 20 rabbits,…

A: A detailed solution is given below.

Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: An ant population grows at a daily rate of 3/10 times the current population. It is known that a…

A: Given, The number of ants die in each day (c)=36 The initial number of ants(P) =400 Let P be the…

Q: A differential equation is considered to be ordinary if it has (A)one dependent variable (B) more…

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Q: Illustrate the Form of General Solution nonhomogeneous equation ?

A: According to the question, we have to illustrate the form of general solution nonhomogeneous…

Q: 4. xt' + t = xt³

A: Given differential equation is, xt'+t=xt3. . . . (1) Rearranging the equation -xt3+xt'+t=0 Let us…

Q: 1. Using differentials, solve for the approximate change in the hypotenuse of a right triangle if…

A: Given: The length of the legs of right triangles change from 5 feet and 12 feet to 4.9 feet and 12.1…

Q: 16. A solution is made that contains 9 pounds of salt per every 10 gallons and flows into a half…

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Q: What are the order and degree of the differential equation representing the family of parabolas y2 =…

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Q: 0px + xp (xxx)

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Q: 1. xy +y = xy

A: Given: xy'+y=xy3 ....i Rewrite the equation: y'+yx=y3 The given differential equation is of the form…

Q: A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man’s system…

A: Given , man takes 40 mg of medicine and each hour medicine decreases by 30%. We need to calculate…

Q: ( 3x²- 2y%) y' = 2xy

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Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: Solve the system of linear differential equation. Show complete solution. 1.) {y' x' = y = -4x + 4y…

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Q: y'+9xe"+3* = 0 y+3x

A: We use method of Variable separable to solve this differential equation

Q: ne differential equation (9x-4y+4)dr-(2x-y+1)dy =0, the lines 9x- 4y +4 = 0 and 2x-y+1)=0 intersect…

A: Please refer to the image below

Q: бу" - 7у - 5у %3D2x3 + е-* - 5

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Q: Solve (p2+q2)y=qz by using partial differential equation.

A: Given that, f=p2+q2y-qz=0 ⋯⋯⋯1 The auxiliary equation is, dxfp=dyfq=dzpfp+qfq=-dpfx+pfz=-dqfy+qfz…

Q: The population of a bacteria increases at a rate proportional to the present number of bacteria ‘P0’…

A: Given problem is : The population of a bacteria increases at a rate proportional to the present…

Q: A differential equation is considered to be ordinary if it has aone independent variable more than…

A: Option C  One dependent variable

Q: A forest is inhabited by rabbits and foxes. Every year, each rabbit gives birth to 7 babies and each…

A: The equation can be written for the populations using the population model. The population at any…

Q: solve the for the general solution of the differential equation( linear homologous equation): (4D4 -…

A: Solving the equation With the aid synthetic division, it is easily seen that the auxiliary equation

Q: The Gibbs Free Energy equation is given by the equation: AG = AH – TAS Where: AG = Gibbs Free Energy…

A: Given query is to solve the expression for T.

Q: Solve the system of differential equation if two connected tanks as tank-1 contains 800 gal of water…

A: We have demonstrated the given information for the ease of better understanding  Let us assume that…

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) 1 -…

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Q: The concentration for a first-order reaction is given by the equation: In[A] = -kt + In [A], Where:…

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Q: The Gibbs Free Energy equation is given by the equation: ΔGΔΗ-ΤΔS Where: AG = Gibbs Free Energy…

A: We need to add the correct term.

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.