(b) A virus is believed to be spreading through a sheep farm according to that equation N = 450 (1                              1 + 249e−0.1t ) where N is the number of sheep infected and t is the number of days. (i) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer.

Q: 1. у" — 4у 3 2+ 3х — х2

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Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

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Q: Find the Differential equation by eliminating the arbitrary constant  x2-y2=a2

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Q: Find the particular solution that satisfies the differential equation and the initial condition. f…

A: We know,  f(x) = ∫f'(x) dx

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Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = y" - 4y =

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Q: Solve using separable differential equations dv 1- 4v2 ,when x = 3, y = 2 3v dx

A: The given differential equation is: xdvdx=1-4v23v          x=3  when y=2

Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = = y" - 4y =

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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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…

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A: We are given that N=50x-x2, 5≤x≤25. Now, dN=50-2x dx. First, increase the advertising budget from…

Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 8 y(x) =

A: First I have find the complementary function and then by using method of variation of parameters…

Q: B. Find the differential equations of the families of curves. 5. Straight lines with slope and…

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Q: What differential equation corresponds to an RC circuit with a resistor of R = 100 and a capacitor…

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Q: usine Solve the differential Equation by of andetermined cofficients coeffic CD² +6D + 8) Y = x +…

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Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 4 y(x) =

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Q: Eq (2) g (x)-2y(x ) =x (y (x l)

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Q: Find the particular solution that satisfies the differential equation and the initial condition. f…

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

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Q: y(4) + y" = 3x²

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Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

Q: The differential equation governing the free response of an accelerometer is given as: 4.6 x 10-12 i…

A: Given differential equation, 4.6×10-12x¨+5×10-7x˙+0.4=0 Lets write given equation in second order…

Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

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Q: Find the particular solution that satisfies the differential equation F'(X) = 10x − 12x3 with an…

A: Given the differential equation: F'x=10x-12x3 Initial condition: f3=2

Q: 16. х" — 7x'— 51 — 3.

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Q: Solve the differential equation by variation of parameters y''' + 5y'' -2y' -24y = 5 + 4*exp(2x)

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Q: The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

A: Given that, The tank contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

Q: Suppose we put an object with temperature T0 in a room with constant temperature K.We know that the…

A:

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: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: Please, reply as soon as posible! Determine the general solution of the differential equation y ′ ′…

A: To find its general solution for the below differential equation. y''−16ky'+64k2y=ex

Q: According to the ideal gas law, the pressure P, temperature T, and volume V of a confined gas are…

A: To find out the change in pressure using the differentials.

Q: Find the general solution of the differential equation

A: We have given differential equation drds=49r We have to find general solution of differenial…

Q: (D4 - 1)y = 7x².

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Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

Q: How would you solve the differential equation y'=2t-y using separation of variables to find y(1)?

A: Consider the given differential equation, y'=2t-ydydt+y=2t The above equation cannot be solved by…

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Q: 2. Solve the differential equation- + x, with y(1) = 1.

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Q: II. Solve for the differential equations and get the general solution. Simplify your answer free…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Given that: f'x=x3-9x2;     f2=9

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A: Given the DE is 3x2+xyk-x2yk-1y'=0. Find k such that the given DE is Complete DE. Then find the…

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: Find the Differential equation by eliminating the arbitrary constant x2 - y2 = a2

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Q: A 50 gallon tank is full to the brim with pure water, and 5 gallons/minute of a brine solution with…

A: Let s(t) be the amount of salt (in kg) in the tank at time t. Now, given that salt is entering in…

Q: (1 0 7. X' = |2 2 1 X 0 1

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Q: Find the particular solution that satisfies the differential equation and the initial condition.   f…

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Q: 2. Suppose a large mixing tank initially holds 300 gallons of water in which 40 lbs of salt have…

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Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.

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.