Find JW and when s-1 and t= 2T for the function given by w= xy +Y2 txz nhere x S Cos t, y = s sint, and z=t. ニ

Q: Q1// B: If u+v=e cos y and u-v=e'sin yfind the Jacobain of the a u, v at (x.y) (1,0) dx,y function

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Q: Find the differential of each function. (a) y = s/(9 + 4s) dy = (b) y = u cos u dy =

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Q: 6. Solve the following DE's using Integrating Factor by Inspection or by applying Table 1. y(y? +…

A: (1) The given differential equation is: yy2+1dx+xy2-1dy=0After simplification,ydx-xdy+y3dx+xy2dy=0…

Q: Q2/ find dz ond dZ as function ne U and v if of Z=tan (중), X=u Cos V , 9-u sinV

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Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: ƏT ƏT and dr 3. Find of function T = x²y – xy³ + 2; x = r cos 0 and y=r sin 0

A: We have to find derivative

Q: EX Show that J (x) =2 sin X zm + Sali-J Cx)= L m + X4 /2 L2)(1)(E 2 (2!) Y2) 4 112 2.

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Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)=pi/6. 1…

A: We use the concept of exact differential equations to find the general solution to given…

Q: dz Use an appropriate form of the chain rule to find dt 1 8 cos x – sin ry; y = 9t t %3D SSEVS Enter…

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Q: dy Find for the following functions: d.x (i) y = 5sin(3z²) (ii) y = ezVz² +1 (iii) y = (tanh-' (V#²…

A: Given function is: y=5sin3x2 Differentiating with respect to x we get, dydx=6x ln 55sin3x2cos3x2…

Q: Find the approximations    T 10 ,   M 10  , and  S 10   for  Integral 0 t0   pie  sin x dx and the…

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Q: dy 1. Find for the following: dr :b. y sin y = ry

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Q: Q2: find dw/dt at given value point for the following function 1) w =x +y.x= cos(t). y = sin(t), at…

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Q: Q2) Find az/du and äz/au for the following function and then find dz/ou and az/dv at the given…

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Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

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Q: Q4) Find dy /dx for the following functions: a) e*y = x – y b) y = (cos x)Vx

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Q: Find the differential of each function. (a) y = 1 + 5s dy = (b) y = e-u cos(u) dy =

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Q: Given z = z?xy – tan(xy) where x = sin (5t + 2) and y = t3 + 4t. By chain rule, || dz find dt

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Q: Select all the functions that solution of y"-y%=D0 are D A. y= e O Biy = e A C, y = x O D. y = COS…

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Q: Q2: Find dy/dx for the following function: (1) y = In(r + 4) -x tan (4) y = x+1) (2) xy +xy = x+ 3y…

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Q: Show that 0 for the following equation in less than three steps only f(x, y) = x2 + 5xy + sin x +…

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Q: olve the following initial value problem using variation of parameters: y" + 4y = cos 3x y(0) = 0,…

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Q: Q1: Find the general solution for the following first order D.Es? (Answer two only) a) sinx+cosh…

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Q: ds Find the function s(t) satisfying = 4 -9 cos t and s(0) = 7. dt

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Q: Find the solution of the following ODE: dy y + 1+x2 0, y(0) = 1 1- %3D dx

A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

Q: For each of the following functions, y(t), determine if y(t) is a solution of the second order…

A: An ordinary differential equation is a differential equation containing one or more functions of one…

Q: Q5/ Find Vf for f(x, y, z) = e** cos z +(y+ 1) sin-x at the point (0,0, T/6)

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Q: Find dy at x=0 for each part below. dx x sec (ax + (here the answer should be in terms of a and b,…

A: Differentiate wrt x

Q: Q2: find dw/dt at given value point for the following function 1 V 2) w== + 2²,.x = cos²(t), y =…

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Q: Find that antiderivative of the function whose value t2 + 2t + 2 IT tan- (t + 1) + 1 – 4 None of…

A: we have to solve intigration

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

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Q: Find the differential of each function. (a) y = 3 + 5s dy = (b) y = e¬U cos(u) dy =

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Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: 1) Find dy for each OF Following functions du a) y = cosh (2n) + 4 ny cosh (1an 2) + 2y = e * %3D F)…

A: Product rule of differentiation:   Chain rule of differentiation:

Q: Find the value of integral | (22 + y² + 2)ds, where C is parmeterized by F(t) = (cos(4t), sin(4t),…

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Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: 6 – Find the derivatives of the following functions a) ((1 + 2t)i + (3 + 3t)j* + (e²4)k* dt d b)…

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Q: Find the specific solution for the following ODE: dy = 2y dx Knowing that y (0) = 3

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Q: Find the f(x)=6" locol mayt local miu for te t St -14 dt COS 'x)= x + Sx -14 cosz t) tI 2. %3D

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Q: dx dt (b) 3x – 6x = sin 2t given that x = 1 when t = 0 (c) i- 7* + 12x = 2 given that at t = 0, x 1…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: Find the specific solution for the following ODE: dy = 2y dx Knowing that y ( 0) = 3

A: We can solve the given differential equation by using initial condition.

Q: It is definend as (Tf) (t) = S sin?(x – t)f(t)dx ,with fe [0,1] 1) is T: c [0,1] → c [0,1] defined…

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: Q5) Find dw/dt at the given value foe the following functions 1) w = x² + y², x = cost, y = sint at…

A: Given:  w=x2+y2, x=cost, y=sint at t=π. We know that, dwdt=dwdx·dxdt+dwdy·dydt

Q: Use Green function to Solve the following IVP 44't3y= flx) i yco) = 0 ,y(6) = 1 where X <o f (a) =…

A: Consider the given information. 4y''+3y=fx And, fx=0                   x&lt;0cosx        0≤x≤4πex…

Q: Which of the following functions is a solution dx = 12x – 8y dt dy 16x – 4y dt O a. y(t) = e 4…

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Q: Q5) Find dw/dt at the given value foe the following functions 2) w = 2ve* - lnz.x = ln(t+1), v =…

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Q: ds Find the function s(t) satisfying = 6 +5 cos t and s(0) = 5. dt

A: It is integration using initial conditions.

Q: * x(t) = t² - 2t aS, w = sin(etan(x*)x) cS lài dw dt

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