Find the total differential. w = x7yz9 + sin(yz) dw = 7x°yz° dx + 6.9 7_9 +2 cos (yz) )dy + (9x'yz° +y cos(yz))dz 7.8

Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) . y'…

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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: List the six orders in which the three differentials dx, dy, and dz may be written.

A: First type= (dx)(dy)(dz) Second type=(dx)(dz)(dy) Third type=(dy)(dx)(dz)

Q: Determine the integrating factor of the Bernoulli's equation given pelow: dy -y cot2x = y' csc2x dx…

A: ................(1) substitute take derivative .................put it back in equation 1

Q: z = x siny + y sinx

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Q: Compute the differential dy for y = (2x + sin x)². dy =

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Q: show that 2 = ar²+by ³ and z = ax³ + bx²y + cxy² + dy give 4 same differential rise to the egn.…

A: Introduction: When a multi-variable function is provided, one can for a partial differential…

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

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Q: Find the total differential dz ZzxeX+y

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 2x,x X, +X, Find the total differential dy, given

A: Introduction: On an open set S, let z=f(x,y) be continuous. Changes in x and y are represented by dx…

Q: Determine the general sulution of the given differential y" pzy" ty= It#) Sint

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Q: Find the general iné egral of the partial differential equation dz he which contains the circles +y…

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Q: 4. u = xz siny + yz cosx + xy tanz

A: Given,  u=xz sin y+yz cos x+xy tan z

Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) .  f"…

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Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) .…

A: Given equation is

Q: The degree and order of the differential (出) 1 8 dy equation 1+ is 3 dy dx dx

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Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) .…

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Q: The order and degree of the differential d³y V dy equation: 7+ is dr3 dx 3,2 7, 3, 3, 1 3,7 Question…

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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: Find the differential dy. x + 3 4x - 1 dy =

A: y=x+34x-1

Q: dy 2. sec²y secx dx ;y(0)=0

A: The given differential equation is dysec2y=dxsecx and y(0)=0

Q: Let 2x2+ 3x+Y a) Find the differential dy when x = 1 and dx=0.1 %3D b) Find the difiea ial dy when…

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Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: find the integrating factor of the given linear DE and general solution of the y'+1/x (y)=cos(x)

A: Consider the given linear differential equation. y'+1xy=cosx The objective of the problem is to find…

Q: Consider the direction field of the differential equation dy/dx=xy-8)- 7-9. y 7 YND but do not use…

A: Given dydx=x(y-8)2-6 We know that slope of linear equation id the it's derivative So, m=dydx

Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) . x"…

A: Provided differential equation is a homogeneous linear differential equation with constant…

Q: Compute the differential dz of the function. z = x'y8 dz

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y f(x, y, z) =…

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Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

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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: Compute the differential dz of the function. z = a°!l 9,,11 dz

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Q: Compute the differential dy for y = 4x³ + 2x?. dy =0

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Q: Determine the integrating factor in the equation y(8x – 9y)dx + 2x(x – 3y)dy = 0 using the method of…

A: The given differential equation is  y8x-9ydx+2xx-3ydy=0 is of the form y f1x,y dx+x f2x,y dy=0. If…

Q: Find the total differential of  w=x3yz+xy+z+3

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Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: Find the differential of the function. y = V 4 + cos(0) -2 sin (0) dy V 4+ cos (0)

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Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

Q: Evaluate the curve f(x, y) = 0 which passes through the point (0,4) and satisfies the differential…

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Q: Explain, the given differential 3x²dx + 2yz dy + y² dz is exact or not.

A: We will check whether  3x^2dx+2yzdy+y^2dz is exact or not.

Q: Compute the differential dz of the function. 6.7 Z = x dz ||

A: Here, to find the differential dz of the function z=x6y7 Note that: dz=zxdx+zydy...(1)

Q: Find the solution of the integro-differential equation using Laplace Transform: y" + 4y' + 3y = 2…

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Q: Consider the following function: z = α x+ β y^2, where alpha and beta are constant parameters. Write…

A: To find the total differential dz and partial derivatives.

Q: Apply Runge-Kutta of 4th Order to approximate the solution on the interval [1,2] of the given…

A: Given: dydx=x-2sin2x-2xy, y1=2 To find: Approximate solution in the interval 1,2 with h=0.1.

Q: Derive a differential equation for the orthogonal trajectories of the family of curves xy c %3D

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Q: Find the differential dy of the function y=(cos(x))(7x) a. dy=-7x(sin(7x))dx b. dy=(-cos(x))(7x)dx…

A: To Find the differential dy of the function y=(cos(x))(7x)

Q: Find the differential dy of the x + 1 y = 4х — 5 dy =

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