Find dy for the given values of x and Ax. y = 2x° - 7x; x= -2 and Ax= 0.2 dy =D %3D (Round to the nearest tenth as needed.)

Q: For a given table 10 14 y 4. 12 20 dy at r = 2 using forward difference formula. dx Find the value…

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Q: Given x = 38t +38 and y = 152t2 + 108 dx (i) dt dy (ii) dt dy (write the simplified answer) (iii) dx

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Q: dy c) Hence find the solution when x = 0, y = 0 and 1. dx

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Q: Find the solution to the DE. (y- x+ xycotx)dx + xdy=0

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y =…

A: Given:- F(x) = x4+1 , x=-3, Δx=dx=0.01 To find:- Δy and dy

Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

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Q: dy = y? – 4 dx

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Q: Determine for which values of m the function ø (x) = e" is a solution to the given equation. d²y dy…

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Q: Obtain the solution of the following equations. x?dx + y(x – 1)dy = 0

A: It's a variable separable equation which can be solved as shown below...

Q: d'y If xy + y' = 1, find the value of at 2 dx (0,1). %3D

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Q: Find dy for the following equation. =x/ .3 y =xV 13-x dy =dx %3D

A: Given, y=x13-x3

Q: Solve the following equation using Bernoulli D.E. b. Alternative method dy + 2 = y? dx 4.

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Q: dy for the function e²* = /2 sin (x + y)at the point 0, dx 6. Find 4

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Q: Given x 30t + 37 and y = 75t2 + 105 dx dt dy (éi). dt dy (éii) (write the simplified answer) dx

A: Solve the given

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: What is S ØQ,(x)dx if the given equation is dy y = 2xy?e¬x? | dx Select the correct response: -x2…

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Q: Use the trapezoidal rule to find A- using the indicated value of n. dx; n = 8 3 3x +3 A, = (Round…

A: We will evaluate the integral by using trapezoidal rule as shown below

Q: Use the information to find and compare delta y and dy (round your answer to four decimal places)…

A: Given- y=x4+2,x=-1,dx=0.01,∆x=0.01 Differentiating Y w.r.t. x- dydx=4x3dy=4x3dx=4-130.01=-0.0400

Q: Given that y = 7 ln u and u = 6x? dy Use the formula dx dy in terms of x. dx dy du to find dz du

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Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: For a given table 2 4 6. 8 y 9. 16 23 d'y Find the value of at x = 4 using forward difference…

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Q: Solve the following using exact equation or linear whichever is applicable. (x− 2y)dx + (y − x) dy=…

A: Given: (x− 2y)dx + (y − x) dy= 0

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y =…

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Q: Given x = 75 sint + 30 and y= 75 cost +4 dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: A شعبة Given x2 + y? + z? = sin (yz) find dz/dx %3D

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y =…

A: We have to find the value of delta y and dy. We use standard formula for finding delta y and dy.

Q: dy Find implicitly. dx x?y – e – 7 = o dy xp

A: Given  x2y - ey -7=0

Q: | f(x)dx = 25 what is 11' | f(s)ds? Given that

A: We change the variable to x from s

Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: For which value of a the equation dz dy dx =3 does hold? Oa.2 Ob.0 OC.3 O d. 1

A: This question is about application of integration

Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: Find the value of ( v1' and v2' ) for t D.E's if we use the variation of param

A: Introduction: Parameter variation is a general method for determining a specific solution of a…

Q: Find the solution. dy 2y + - :=x?y?sinx dx

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Q: Find d'y/dx? given x= t² – 3, y = 2t – 1

A: First I have find the derivative of x and y with respect to t and then calculate the required…

Q: (a) Find the approximations T4 and M4 for 27e/x dx. (Round your answers to six decimal places.) T4 =…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: dz dz 10. Compute for the following equation. and dx dy e*Y + xz? = 6xy*. *z° ||

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Q: d’y If y= cos 2x, then at dx? x = 0

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Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

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Q: Given x = 30t + 44 and y = 105t2 + 100 dx (i) dt dy (ii) # dt dy (iii): (write the simplified…

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Q: Given y is the square root of x. Find dx/dt when y=2 and dy/dt= 1.75

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Q: Given x = 61 sin t + 36 and y = 3721 cost – 29 - dx (i) dt dy (ii) dt dy (iii) dx

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Q: The given data is: x² + y² + z? = 4 dz To find the value of dx

A: Take the derivative with respect to x and represent all terms for dz/dx.

Q: Use the mothed of arlation of parameters to find the general solution of the following equations. a)…

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Q: Given a = 2 cost + 20 and y = 5 sin?t de (6) dt dy (é) dy (é) de ||

A: We have to find the derivative of given functions

Q: Find the value of (D) for the given D.E if we use the variation parameters method d'y dx dy +y=te?t…

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Q: Given y = V1+x³, find dy/dx. Use this result to find the approximate change in the value of y when x…

A: As we know that the instantaneous rate of change at any point x = a is approximately equal to the…