51. grad f = (2x + 3e")7 +3xe'j

Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

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Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: Find the differential of the function w=x^5sin⁡(y^5z^4) dw=  dx+  dy+  dz

A: Differential of a function is simply the derivative of a function. Also, d(uv) = u.dv + du.v

Q: find the differentials of the first and second orders u=xyz

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Q: and dr= %3D Solve for the differential of y When y=sinxx x

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Q: y' – y = 2te',

A: Laplace transform: L(y'(t))=py(p)-y(0) L(y(t))=y(p) L(2tet)=2(p-1)2

Q: Solve the differential equation using Laplace transform of y"+y=6sin2t ; when y(0)=3 and y'(0)=1

A: The given differential equation is…

Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: Find the 4th order differential of the function y=√2x+1.

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Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…

A: We have to obtain the differential equation of the family of circles of fixed radius r with center…

Q: Find the total differential. z = 10x"y3 dz =

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Q: Let y=(x2+3) to the 2nd power. Find the differential dy when x=4 and dx=0.2 ?????????? Find the…

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Q: Find the general solution of the differential equation with the help of lablace transform

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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: Obtain the differential equation by eliminating a and b from the rdation y=a cos 4x +b sin 4x

A: Given equation is y=a cos4x + b sin4x find out the DE by eliminating a and b

Q: 5.32. z = sin(x² + y?)

A: To find the differentials of third order.

Q: Solve the differential eqyations y" – y'+6y =e -2x

A: Differential equation problem.....

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: D. Solve the differential equation using Loaplace transform of y" + y = 6sin 2t ; when y(0) = 3 and…

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Q: If f(x, y) = ln(x + y), then total derivative or total differential of f at x = 3 and y = 20 is : Y

A: Given data: The given expression for the function is f(x,y)=ln(x+y). The given value of x is x=3.…

Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: Find the differential operator which will annihilate the function 2x + r³ – sin 2r.

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Q: 3) Find the solution af equation that satisties the qiven mitial condition. of the differential L0…

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Q: Find the total differential w = x2yz2 + sin yz

A: Partially differentiate w = x2yz2 + sin yz with respect to x and keep y and z as constants.…

Q: Compute the differential dy  for  y=(6x+sinx)^3

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Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: Use integration to find a general solution of the differential equation       dy/dx = cos 2x

A: The given differential equation is  dy/dx = cos 2x.

Q: Compute the differential dz of the function. 3,,10 x°Y %3| dz

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Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

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Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

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Q: Find the differential of y² + x = 4.

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

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: find the total differential dz. xety

A: dz=∂z∂xdx+∂z∂ydy ---->1Consider z=xex+ythen∂z∂x=ex+y+xex+y∂z∂y=xex+y

Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

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

A: On simplification, we get Now integrating on both sides, we get

Q: Use a linear approximation (or differentials) to  estimate the given number.  (1.999)4

A: Consider  1.9994

Q: Match the differential equation with its direction field. y' = 5(x + y) – 1 -0.6- --0.4 - -0.2 0.2…

A: Given that y'=5x+y-1 Let fx, y=5x+y-1 then y'=f(x, y) As, we can see in given problem f(x, y)…

Q: The integrating factor that transform the differential equation y" +y' + Axy = 0 into a…

A: Given - The differential equation y'' + 1xy' + λxy = 0 To find - The integrating factor that…

Q: Find the approximate root of y = 2x2 + 4x – 6 when x = 0.01 using differentials. -

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Q: Let y = tan(5x + 3). Find the differential dy when a = 3 and dæ = 0.4 Round to 4 decimal places if…

A: For calculating dy, first we have to differentiate y w.r.t x, then find dy from that expression. The…

Q: find the differential dy of the function y=x2sin(8x)

A: Find the differential dy of the function y = x2 sin(8x) as follows.

Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…

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Q: find the general solution of the differentialequation and check the result by differentiation.dy/ dt…

A: The given differential equation: dydt=x32 Integrate both sides of the differential equation with…

Q: Use integration to find a general solution of the differential equation                dy/dx = sin…

A: given differential equation as dydx= sin 2x or it can be written as dy=sin 2x dx

Q: Use a linear approximation (or differentials) to estimate v3.99 to 5 decimal places. Be sure to show…

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Q: Since dv = cos( x) dx, integrate the differential equation to obtain the function v. =D A dv Cos( x)…

A: Since dv=cos8xdx, the first missing term is 8. Substitute cos8xdx for dv in ∫dv to obtain ∫cos8xdx.…