3y t – 4y' + 5y = 0

Q: 3. Find (6-+- vē)dt Vy 4. Find S- dy (4-yの?

A:

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

A:

Q: dx dy at z = - 5 if y = 3x-3 and dt Find -1. dt dx dt

A:

Q: dx dy Find at x = 1 if y = – 5x´ – 3 and 5. - dt dt dx dt

A:

Q: Find the differential dy: y = In (sec² (3ª²–2x+5)).

A:

Q: 37. - dy y. dt

A:

Q: dz dz Calcula y dy z = x In(y) az = In(y) 1

A: Given : z = x ln( y ) To Find : ∂z∂x, ∂z∂ywe have given four options to determine the correct option…

Q: 29, + 16y=0 geoJ = 2, go)= -2 2. 31, dy dy -54 =0 dt

A:

Q: dx =- 1. dt dy at x = 2 if y = 4x° – 2 and dt %3D Find - dy dt

A: Given: y=4x2-2 and dxdt=-1 To find: dydt, when x=2.

Q: Find dy/dt if y=ln(t^2+1)/(squareroot of (4-t)

A:

Q: dy dz Find at z = 1 if y = 4z +4 and = 2. dt

A: Given: y=4x2+4

Q: y, thên thế total differential of and y O df = 11 dr + 16 dy O df = 15 dr + 19 dy O df = 12 dr +18…

A:

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

A:

Q: Let y = tan(5z + 6). Find the differential dy when a = 4 and dæ 0.1 %3D Find the differential dy…

A:

Q: (t + z cos(t)) dt + (sin(t) – 3z² + 5) dz = 0

A: Let's find.

Q: 1. 3(3x2 + y²)dx – 2xydy = 0

A: According to our guidelines we can solve only the first question. Please re post the other questions…

Q: Find the location and velocity at t = 4 of a particle whose path satisfies dt dr (3t-1/2, 5, 8t) and…

A:

Q: If y=x² - 4x and x = √2r²+1; find dy dt when t = √2.

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find dt y = 6t + /9+ 7-t dy dt |3|

A:

Q: 1 dy J yi + 3y² + 1

A:

Q: dx If x2 + y2 + z2 = 9, dt dy 6, and dt dz when (x, у, z) %3D (2, 2, 1). dt 3, find %D %3D dz dt II

A:

Q: dy 4 – 5y = e-3t sin(4t) ; y (0) = 3, y (0) = 10 dy %3D - dt?

A: We solve the given IVP  y"-4y'-5y=e-3tsin(4t)........(1) y(0)=3, y'(0)=10.......(2)

Q: find dy/dt. y = (esin (t/2))3

A:

Q: A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle…

A:

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

A: y=x+34x-1

Q: ) Find: dx/dt  at  x=−4  if  y=−3x^2−2  and dy/dt=1. dx/dt=

A:

Q: 6. If x = y3 - y and dy/dt = 5, then what is dx/dt when y = 2?

A: The given equation are x=y3-y,dydt=5  and y=2.

Q: y = tan (5t - 21 +1)

A:

Q: [-+] 5t dy 3.1는-51%3D-y dt

A: This is a linear 1st order differential equation.

Q: If L = 2x2 + y2, dx/dt = -1, and dy/dt = 3, find dL/dt when x = 5 and y = 1

A: Consider the provided equation and information,

Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

Q: ,dz Find ifz = xy2 +x²y, y = ln x - dt

A: We are given : z=xy2+x2y and y=ln x⇒z=x(ln x)2+x2 ln x

Q: i need help to solve this: y''+ 5y' + 6y = δ(t-2) intial conditions: y(0)=0 ,  y'(0) = 1

A:

Q: 1. xy + z2

A:

Q: dr = x – y +t dt dy =エ+3y +t+1 dt (20, yo) = (-4, 5)

A: Given that, dxdt=x-y+tdydt=x+3y+t+1 This can be written by, X'=1-113X+tt+1 Now the homogenous eigen…

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

A:

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

A:

Q: Find dy if y = In* +1 7 -t dy dt

A: Derivative is below

Q: Find dz/ðx , dz/ðy at the point (1,1,1) if x³ + z² + ye + xz cos y = 0

A:

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: Can i get help step by step please

A: To find dx/dt when y = 2 and dy/dt = 5

Q: Find dr dy at x = -1 if y =u° +5u – 4 and u = x² +x.

A:

Q: 4. (4y+ 21 - 5)dt +(6y+41 –1)dy = 0, y(-1)= 2 cs

A:

Q: dæ Let y = 3.75a + 4.75 and dt 0.2. dy dt Find when x = 3,

A:

Q: dy/dt=0.3(y-200)

A: Separate the variables and integrate both sides.

Q: dy dt II

A:

Q: Can i get help step by step please

A: Given

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

A:

Q: Can i get help step by step please

A:

Q: Find the differential dy. y =  x + 8 7x − 1

A: Assuming that y is given as: