T: X-Y is differential operator 0 صواب İhi O

Q: Let y=5√xFind the change in y, Δy when x=1 and Δx=0.4Find the differential dy when x=1 and dx=0.4

A: Given: y = 5xTo find: 1. ∆y at x= 1 & ∆x =0.42. dy  at x = 1 & dx=…

Q: Express the following differential equation in terms of a differential operator: d'y dy 4- da? + 4-…

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Q: with subsidiary cquatvon: * Solne the differential equatun with subsidiary cquatvon: 5. y (s) =…

A: 8)

Q: Let y = 5/T. Find the change in y, Ay when a = 5 and Ax 0.1 Find the differential dy when I 5 and dæ…

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Q: Let y = (x² + 1)5. Find the differential dy when x = 1 and da = 0.4 %3D Find the differential dy…

A: Given function is y=x2+15. Differentiate y=x2+15 with respect to x dydx=ddxx2+15=5x2+14⋅2x=10xx2+14…

Q: Let y = 5a2. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4…

A: ∆y = 5(x + ∆x)^2 - 5x^2= 5(x^2 + 2x∆x + ∆x^2) - 5x^2= 5(2x∆x + ∆x^2)= 10x∆x + 5∆x^2 So when x = 4…

Q: I. Perform the indicated multiplication on the differential operator D. (xD-1)(xD+2)

A: Let's find.

Q: dz 11. If z = e",x=tcost, y =t sin t, compute at t = dt 2

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Use the differential operators y'"-5y'+6y=e* %3D

A: Given that a second order non homogeneous differential equation and find its solution. Here i…

Q: Let y : 2x + 3x +4. Find the differential dy when x = 5 and dæ 0.3 Find the differential dy when x =…

A: Given, y=2x2+3x+4 Differentiating with respect to 'x', we get dydx=ddx2x2+3x+4=2×2x+3×1+0=4x+3…

Q: dx dy = x – y, 2 = x + y ;by using differential operator D find the solution of y. dt Given dt (a) y…

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Q: Let y = 2 T. Find the change in y, Ay when x =1 and Ar = 0.2 Find the differential dy when x = 1 and…

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Q: find Ly for the given differential operator if (a) y(x) = 2e3x, (b) y(x) = 3lnx, (c) y(x) = 2e3x…

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Q: Given the linear differential operator L = D² – 8D + 41, find a function y(x) below such that Ly =…

A: Given that: L = D2 - 8D +41 To find: A function y(x) such that Ly = 0 First we find the factors of…

Q: Use the Laplace transform to solve the given differential equation subject to the indicated initial…

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Q: Let y = 5x². Find the change in y, Ay when x = 3 and Ax 0.4 Find the differential dy when x = 3 and…

A: x = 3  f(x)=f3=5·32=45 f(x+△x)=f3+0.4=f3.4=5·3.42=57.8 △y=f(x+△x)-f(x)=57.8-45=12.8

Q: Let y 4 Find the change in y, Ay when ax = 0.2 4 and Ar Find the differential dy when 4 and da 0.2 =

A: Change in y is,

Q: Let y = 2/x. Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: Find the differential dy. (a) y = xV7-x dy (b) y = (1+x) dy

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Q: Let y = 2 T. Find the change in y, Ay when x = 1 and Ax 0.2 0.190 Find the differential dy when x =…

A: please see the explanation below

Q: 2. Test the following differentials for exactness: (a) dF = 2xy² dx + 2yx² dy (b) dF = 8x dx (c) dF…

A: The given data is: a dF=2xy2 dx+2yx2 dy       .......(1) For the differential equation dF=Mdx+Mdy…

Q: Let y = 4x. %3D Find the change in y, Ay when x = 5 and Ar = 0.4 Find the differential dy when x = 5…

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

Q: T: X-Y is differential operator ulgn O İhi O

A: We have to determine whether the given statement is true or not .

Q: Let y = 2 /T. Find the change in y, Ay when x = 1 and Ax = 0.3 %3D %3D Find the differential dy when…

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Q: Which of the following is a differential operator that annihilates the function y= 5x* + Sx2 +6r +5…

A: The given function is, y=5x4+5x2+6x+5 cos4x+4ex2 Some properties. (1) If L1 annihilates a function…

Q: Express the following differential equation in terms of a differential operator: dy 4- da2 dy + 4-…

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Q: Let y = f(x), where 3x? f(x) : Зx + 4 ,2 x + 4 Find the differential of the function. dy =

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Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

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Q: Let y = 4/r. Find the change in y, Ay when x = 3 and Ax 0.2 Find the differential dy when x= 3 and…

A: We know that, Δy= y(x+Δx)-y(x) Given, y= 4√x --------equation 1 x=3 Δx= 0.2 Therefore, Δy=…

Q: find Ly for the given differential operator if (a) y(x) = 2e3x, (b) y(x) = 3lnx, (c) y(x) = 2e3x…

A: L=D2-x2D+x a). yx=2e3x Now,…

Q: Let y = 2/r. Find the change in y, Ay when x 1 and Ax = 0.3 Find the differential dy when x = 1 and…

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Q: If f(1, y) = 17e cos z+ 9 cot y, then the total differential of f at (0,) is O df = -17 dr + 18 dy O…

A: Given that:-     fx,y=17e-xcosx+9coty  we know that total differential is =     df=fxdx+fydy…

Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

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Q: find Ly for the given differential operator if (a) y(x) = 2e3x, (b) y(x) = 3lnx, (c) y(x) = 2e3x…

A: Given: L=D3-D+4 (a) y(x)=2e3x Ly=D3-D+42e3x    =54e3x-6e3x+8e3x    =54e3x+2e3x

Q: d²y dt² d'y 11. + (cos t)- dt4 +y=e=tsin t

A: Given - d4ydt4+(cost)d2ydt2+y=e-tsint To determine whether the given differential equation is…

Q: 26. Let y= Væ. a. Find the differential dy. b. Evaluate dy and Ay if æ = 1 and dx = Ax

A: a) Given that , To find :…

Q: Let y = 3a. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1 and…

A: Given that: y=3x       NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Let y = 4√x. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2…

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Q: Apply the Laplace transform to the differential equation, and solve for Y(s) y"+ 25y = 3(t – 4)us(t)…

A: Given that, y''+25y=3t-4u4t-3t-8u8t, y0=0, y'0=0 To find Ys

Q: T/2 %3D cos (2wt + O, + ©z)dt = 0 -/2

A: The solution are next step is

Q: If f(x, y) = 22e¯ª cos x + 4 cot y, then the (0, is total differential of f at - O df = 22 dæ + 8 dy…

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Q: Find the differential of the function. Z = e-8x cos(5xt) dz z = dx + dt %3D

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Q: I. Perform the indicated multiplication on the differential operator D. (xD- 8)(xD+2)

A: Given(xD-8)(xD+2)To perform the indicated multiplication on the differential operator D.

Q: Obtain the general solutions given the differential operators j. (4Dª – 8D³ – 7D² + 11D + 6) y = 0

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Q: E(z, t) = ex cos(@t – kz + Þ1) + ey cos(wt – kz + $2) = €;E× +e,Ey %3D

A: Consider the given equation: Where,

Q: Let z = f(x, y) = 2xy + x. Write the differential dz in terms of x, y, dx, and dy. %3D

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Q: Obtain the general solutions given the differential operators g. (D² + 2D – 3) y = 0

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Q: Which one is the differential operator for the equation d²y dy 2x dz r + y = 0 ? dz² 2²D² – 2xD+1 x2…

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Q: Verify the Pierre-Simon Laplace equation ∂2f/∂x2+∂2f/∂y2=0 with f(x,y)=ln∣x2+y2∣

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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.