C. Given that y = e* sin x, show that d?y +2y 0

Q: If sin y =x sin (a +y) then show that dy sin (a +y) (a is not multiple c dx sin a

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Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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Q: Find dz/ax andðz/@yif I z = x* sin(xy³).

A: If a function f(x, y) is to be partially differentiated with respect to x, then we treat the…

Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: 1. Given f(x, y) = e sin(x² + y² ), find -2x and ôxôy ôyôx

A: Given: f(x,y)=e-2xsin(x2+y2)

Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: (c) Given tanh (x) + tanh (y) = 1, show that, dy 1- y? dx 1- x2

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: 3) eYsinx dx = cos?x dy 4) y' + (÷) y = xy?

A: First question we can easily solve using veriable separable method. Second question we can use from…

Q: H.W Find y' for y = e©osx * tan¯'(5x) * (5x² + 1) ?

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Q: Given ey = x + y. Show that x +y (x + y – 1)3 d?y dx?

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Q: y to solve the following linear differe ] dy

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Q: Q2 Find (d y/d x)& (dy/dx?) y 1/ cos xy ex =

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Q: Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and…

A: Given  dy/dx = x+y and y(0)=1 To determine y(0.3) using Euler's modified formula

Q: If V = x² + y² where, x = a cos t, y= b sin t, find AP and verify the result. dt

A: x=acost y=bsint V=x2+y2 put the values of x and y V=acost2+bsint2 V=a2cos2t+b2sin2t

Q: 1. Given that Y = e + Cosx, find: dy a. dr b. d'y/dx?

A: Hello , thanks for your question but according to our policy I am answering the very first question…

Q: Find e + Uy, Given that u(x,y) tan(x+11Xy+11y") .t/ - *א- w

A: Given ux,y=tanx+11x2y2+11y411-x2-y2

Q: Answer the given DE below: x (dy/dx) +y=y^2

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Q: B. Find y). 1. y = cosh?x 2. y = x tan-1 x - In vx2 + 1

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Q: Given that x cos y + y cos x = 1, find dy/dx.

A: Given that, xcosy+ycosx=1. The objective is to find the implicit differentiation of xcosy+ycosx=1…

Q: Given f(x, y) = 2e" sin(4y) v (0, then V %3D 2

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: Let y = ln u and u = cos x what is the value of 9 if x = 4 dx

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Q: dy 5. If y = e3+1 sin(1 – a²), then Find da

A: We have given y=e3x+1sin1-x2 We have to find dydx.

Q: dy If y = (In x) (sin x), then dx

A: y=ln x(sin x) To find dydx

Q: 2 x If y = x¯e" sinx,Find d

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Q: Given f(x, y, z) = xe"y + sin(xyz), find fyzz

A: Derivatives of: Sin x is Cos x Cos x is -Sin x u

Q: Given f(x,y,z) = cos(4xy) + sin(2z). Find fy(1,2,0). Leave your answer correct to two decimal…

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Q: 2- is the D.E:(3x² + y cosx )dx + ( sinx-4y )dy = 0 | a- - Exact b- linear D.E (show that)

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Q: Q3) For f(x,y) = Sin(x,y) find fryxy at (1,–). %3D

A: Given query is to perform indicated derivative operation.

Q: r(1,1) Evaluate oo) (3r + 4xy + ix) dx along y =x

A: we have to evaluate this integral by putting x=t

Q: 181. y = (x + cos z) (1 – sin z sz)(

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Q: (îi) If y dy sin h x, find dx

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Q: Evaluate : T SS y sin x dydx

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Q: Lind -2x+H where X- oro Zy

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Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: (a) Find dr dy given that x²y + sin xy = 0.

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

Q: Show that given R: x € [0,1] ^ y € [0,2] 1133 3x²yexy dy dx = 6 R

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Q: Given f(x,y) = ex cos y, Evaluate fy(2,0) O e² cos 2

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

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Q: Given tanh(x)+ tanh (y) = 1, show that, dy 1- y? dx 1- x2

A: We can find the required answer as below

Q: Find the value(s) of @ for which y = cos ot satisfies d'y + 16y = 0. di? Enter your answers in…

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Q: Q2 Find (d y/d x)& (dy/dx?) y 1/ cos xy ex %3D

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Q: Suppose z is a function of x and y. and tan Vy? + x² = 2"e6y dz dz Solve for and

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Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: Determine whether the statement is true or false. 4 '1 (x2 + Vy) sin (x?y²) dx dy < 9 1

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Q: (c) Given tanh (x)+ tanh¯'(y) =1, show that, dy 1- y? dx 1- x2

A: The given function is: tanh-1(x)+tanh-1(y)=1

Q: Find d & . dy x = 4 sin t y = 5 cos t 0 <t < 2#

A: Given,           x=4sint           y=5cost ;    0&lt;t&lt;2π

Q: Solve the following IVP: dy sin(z*)e %3D dx y(2) = V5 %3D

A: Use separation of variables method on dydx=sinx2ex3 dy=sinx2ex3dx Now integrate both sides without…