The power consumed in an electrical resistor is given by P = watts. Use R differentials to approximate AP, the change in power, when E = 200 volts and R= 8 ohms, if E is decreased by 5 volts and R is increased by 0.20 ohms.

Q: Give the general solution of (D° + 2D* + 7D³ – 4D² – 26D + 20)y = 0

A: For Homogenous differential equation, PI=0

Q: The thickness of the shell is a = 0.2 centimeter. Use differentials to approximate the volume of the…

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Q: The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV =…

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Q: Use the method of undetermined coefficients to solve the differential equa- -2x y" + 5y' + 6y = e-®…

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Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: The volume of a right circular cylinder is,

Q: equation y=lnx3x-csch-1 [(tan(3x))] +8, calculate the differential of y if dx=2.9 and x=9

A: Given equation is y=lnx3x-csch-1tan3x+8. Compute the derivative.…

Q: y=vx. What is y's differential? What would the value of v17 given x=16?

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Q: Calculate the differential of the function y=x5−7x3+5x at the point x=2 when dx=0,2.

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Q: What is the value of the differential if f(x) = x + 2x - ! x = 8.4 and dx = 0.86. Round your answer…

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Q: у dx — х? dy %3D 0

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Q: If the number of sales is inversely proportional to the price of a product, write the differential…

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Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).

A: The general form of first order  linear differential equation is shown on board

Q: The Strikers Technologies Company determines that the marginal cost for their MaxiPak flash disks is…

A: We will integrate the function with respect to x and then find the general solution. Next, for…

Q: Find the value differential equ of the arbitrary and the value c y'+4

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Q: This is a linear DE. If arranged to its form, what is the integrating factor? * xdy ニ

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

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: separation of variables.

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Q: Find the approximate root of y = 3x? 12x – 15 when x 0.02 using differentials.

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Q: 2xdy + y Cyz Inx -1) dx = 0

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Q: Given the differential equation dy +y dx=2xy-e* dx what is the value of the integrating factor?

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Q: For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T . If your…

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Q: For what value of is the differential equation (6zy + cos y) dr + (3ka²y? – 3y?) dy = 0 exact?

A: Exact differential equation

Q: Solve the given third-order differential equation by variation of parameters. y"+ 64y' = sec(8x) |3|…

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Q: Given a function ƒ that is differentiable on its domain, write andexplain the relationship between…

A: The differentiable function is f on the interval I which contains a point a. The linear…

Q: The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is…

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Q: Find the total differential du. 1. w = y tan a? – 2xy

A: To find the total derivative

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 differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: 8. If y = xi, then the value of the differential dy as x changes from 16 to is (A) * (B) 5 (c) (D)…

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Q: The rate of change of y is proportional to y. When t = 0, y = 2, and when t = 2, y = 4. What is the…

A: Given that rate of change of y is proportional to y that is, dydt=ky        ...(1)

Q: A jar contains 100 mL of a certain substance which, when heated to t degrees Celsius contains E(t) =…

A: the given function for the thermal energy is E(t)=2.3t2-4.5 and as the thermometer is accurate to…

Q: The velocity v and time t are related by the first order differential equation below. Find the…

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Q: 2uvdv + 2u?du – v²du = 0 %3D

A: Given that: 2uvdv+2u3du-v2du=0

Q: Use separation of variables to find the solution to the differential dB equation + 2B — 50, if В(1)…

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Q: 4) For an ideal gas, the pressure is related to temperature and volume by the formula 8.317 P = If…

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Q: -X y" + 2y² + y = €²² ln x e^

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Q: Given the equation y=2x^2+2x, determine the differential dy for x=3 and dx=0.4. Round your answer to…

A: Given y=2x2+2x. We need to find the differential dy for x=3, dx=0.4

Q: The amount u of a radioactive material change in time given as a differential equation du dt = -7u…

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Q: 8. Use a linear approximation or differentials to estimate the value of v15, knowing the exact value…

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Q: Find the antiderivative of the given derivative. ds 14(4? – 1)3 dt S =

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Q: The integrating factor for the following differential equation is by² dx = x (2x³ + y) dy y? (E) y?…

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Q: 3 y = √√2x + 7

A: Given,  y=2x+73 or x=y3-72

Q: Use separation of variables to find the solution to the differential dy 0.5(y– 800) if y equation =…

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Q: What is the value of the differential if f(x) = x + 2x - x = 2 and dx = 0.63. Round your answer to…

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Q: Find the differential of the function. w=2xyexz dw=(__)dx + (__)dy + (__)dz

A: W = 2 x y e xz dw  = 2 yexz  + 2 x y z e xz dx  dw  = 2 xe xz dy

Q: Find the approximate value of V0.95 using differential

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Q: Find the approximate value of the following by use of differentials. 1. √626

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Solve for the differential of y when y=sinx, x=–, and dx =-. 3

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Q: If y = x7-9Va, find the differential dy. Your answer will be in terms of x and dx. Enter da as dx.…

A: use following formulae to find the differential dy dxn = nxn-1dxdx = 12xdx

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.