in term of t, if w -+, x= cos t,y sint and z in term of t. if w = xy, x = cost and y = sint, whent=. Q4:- Express dt chw Q5:-Find ow

Q: as (x*ty3) dx -2メydy =0 a.) prove if the given DE is exact or non -exact - Given DE b.) Find its…

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Q: The value of 6 dz,where C:|z|= counterclockwise, is sinh(z+2) 7-4 O a. O b. 27isinh(3) sinh(3) O d.…

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Q: I am having trouble evaluating ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above…

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Q: Let w(x, y, 2) = a? + y? + 2? where a = sin( – 9t), y = cos(- 6t), z = e". dw dæ dy dz by first…

A: We have  W= x2+y2+z2  Where , x= sin(-9t) , y= cos(-6t), z= e3t  Find dx/dt, dy/dt, dz/dt and dw/dt

Q: Solve the following problems by applying chain rule. lt dw (a) If w=x - 2y² +z', and x= sint, y=e',…

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Q: Given z = 2 cos t + 35 and y= 9 sin? t da (i) dt dy (ii)- dt dy (iii) dx

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Q: The radius r and height h of a right circular cylinder are related to the cylinder’s volume V by the…

A: It is given that, the height (h), radius (r) and volume (V) of a cylinder are related by the…

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: Find dw/ dt at the given value for the following functions Z 2 X Y x= cos² (t).y = sin² (t).= = =,…

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Q: Given z = 2 cos t + 33 and y = 8 sin²t dz (i) dt dy (ii) dt dy (iii) dr

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Q: Find the temperature u ( xjt). in a bar of leng te t which is perfectly insulated everywhere…

A: Temperature distribution on a bar follow the equation∂u∂t=∂2u∂x2   0<x<π, t>0B.C  ux(0…

Q: 1. Solve the DE as follows: d'y dy +3 +2y = 24 y(0) = 10 and y'(0) = 0 di? dt

A: Given differential equation  is   y"+3y'+2y =24    ;    y(0) =10     , y'(0) =0

Q: Q: IF the value of (t) change from sin(“,) to cos( ",5. Find the dF for dx f(x, t) = V1+t³ Sa f(x,t)…

A: To find dFdx, whereF=∫αxβxfx,tdt, and fx,t=1+t3

Q: E valuate the Following in tegrals: sec (2+) dt tan (2t) 9.

A: Given that  The integral is  To evaluate the integral

Q: COS. dt, for alla at, for all r 58 1 dt 58. for |x| < 1 (1 – t4

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Q: we solve thd DE y dx 2x0y-0aer convedding it to oad sing an integrating tactor, then the solution…

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Q: In the given DE, cos z + In y + ( +e) dy 0, de integrating M (x, y) with respect to x generates a…

A: Here we are given a differential equation And we have to find the function g(y). For this first we…

Q: 4- Find dy/dr If x²(x- y) =x - y? dx 5- Find "/dr If y =x +3x-7 and z 2t +1 dy 6- Find dr/de If cosr…

A: To find The derivative of the given functions

Q: Q2 Given z = xw? + cos y + wx , w= t , x = 2t2 , and y = 3t, find dt

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Q: For the given DE with coefticients linear in two variables, do the following: (x - 2y)dx + (2x…

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Q: I) What Is the vale OF II X (t) Cos (4TT +)dt ? -の -Jnt X CE) ニ x(t) cos ( 4TT+ ニ -の J(年) J年)…

A: According to me your solution is incorrect and also there is a mistake in question so I solved this…

Q: let y(t) be a solution of (cos y + 1). dy = 2t such that y(2) = 0. dt Show that sin y + y = t2 + C.…

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Q: Find dw/ dt at the given value for the following functio 1) w=x² + y°, x = cos(1), y = sin(t), at †…

A: The given functions are w=x2+y2, x= cost  and  y=sint and t=π. Evaluate w in terms of t as follows.…

Q: Consider the following. dy dx ex — У, (0, 1) %3D y | || 5+\/|| -4 ///+1 | 4 I| |-3+ (a) Find the…

A: dydx=ex-y ,   0, 1 On simplification, we get dydx+y=ex Now comparing with dydx+Py=Q, we get P=1…

Q: Find the largest interval on which the following IVP has a unique solution. (2t + 1)y" + sin t y…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point take…

Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

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Q: Which of the following is equivalent to u=-cost+v3 sint ? a) u = 2 cos t +- 1 b) u = – cos| t+ 2 3…

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Q: find dw/ar if w = (x + y + z)?, y = cos(r + s), at the point (r, s)3(1,-1) x = r - s, z = sin(r + s)

A: Given w=(x+y+z)2 x=r-s y=cos(r+s) z=sin(r+s) point (r, s)=(1, -1)   when we differentiate partially…

Q: Find dw/ dt at the given value for the following functions 1) w=x² + y²₁ x = cos(t), y = sin(t), at…

A: Sol

Q: After solving for the factors of dy/dx, the equation y*[(dy/dx)^2] + 2xdy/dx - y = 0 will reduce…

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Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

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Q: 1. Solve the DE as follows: " +3 d'y dy -+2y= 24 y(0) =10 and y'(0) = 0 di? dt

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Q: for Given z = y5 a) Find SI -42*x^5 is: 30/y^7 dy2 b) Find ze at (3,3,1) is: at (3,3,1) is:

A: Find the partial derivative of z with respect to x and y

Q: Assume that z and y are both differentiable functions of t and are related by the equation = cos…

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Q: Find the general solution of the following IVP: (32²tany + 2) + (x³ sec?y – 1) = 0, y(0) = 0. %3D dz

A: Simplify the differential equation to exact form and integrate each terms.

Q: 1 If z = 5xe2xy and x =/t,y=. Then, dz at t = 5 is equal to dt the value of 2/5 V5 Select one: True…

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Q: (b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified…

A: Given y'=x+yy(2)=4   , y(3)=?       h=0.2  modiefied euler method is yn+1=yn+hfxn+h2 , yn+h2f(xn…

Q: 4) Given: AB is an external tangent to Q0 and 0Q at points A and B, radi for O0 nd OQ are and 12,…

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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: Given an LC-circuit as UTM + 승-E, sin at dt? where C is the capacitance, L is inductance, and Eo is…

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Q: Use the variation of parameter method to find a particular solution d²y * + 4y = sec? (2t) Yp of…

A: Consider the provided differential equation,

Q: Find the solution of the equation cos y which teds to zero as r 0o and has the valRe coS N Vwhen r=0

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Q: The velocity of a particle moving back and forth on a line is y = ds/dt = 6 sin 2t m/sec for all t.…

A: given the velocity of a particle moving back and forth on a line is y = ds/dt = 6 sin 2t m/sec for…

Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

A: The volume of a right circular cylinder is V=πr2h. Consider that neither r not h is constant. Assume…

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: (5) Under what Conditions is (ax+by) dx + (KX+LY)dy=o exact? selve the eXact equation,Ca, b,k, L…

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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: Q1. Solve the follounig ordinary diflerential agethins, 2 ci) dy ;If yoo when x=0 = xe dx dy + Cot y…

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Q: Q2 Given z = xw? + cos y + wx , w =t, x = 2t? , and y = 3t, find dt

A: Let's find.