Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)² dx y * logy x |

Q: Зx + log dy find dx If y = 4 — Зх -

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Q: Find the differential dy of the given function.

A: Given :              The given function is :                   y = 9 - x2 To find :            The…

Q: Find the differential dy of the given function.     y = 3x2/3

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Q: 1. Find the differential dy in y= 2x4-3x3-5x 2. Use differentials to find approximate values for…

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Q: 31+2 dy - of the function y= dt 7. Find +4 dy of the function y = 5 tan (6x)+ log, (36x² + dx 8.…

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Q: 5. Find the differential equa tion of (x-c.)" †C2Y C3

A: We will eliminate the arbitrary constants. As there are 3 constants so it'll be differentiated…

Q: Find the Wronkian (up to a constant in front) of any two solution x1(t) and x2(t) of the…

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Q: Solve the differential equati on. dz (log x) = –(log z) dx X

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Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: Find the differential dy of the given function. y = 3x2 − 4

A: Given function is Differentiating with respect to x, we get Therefore , differential dy is

Q: Find the differential dy of the given function. y = 3x − sin2x

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Q: D. Solve the differential equation using Loaplace transform of y" + y = 6sin 2t ; when y(0) = 3 and…

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Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: The differential equation y' = e3x+Iny is linear and separable. %3D Select one: True False

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Q: At time t = 0, then th

A: P(t)=0.5t4-16t3+144t2       , 0≤t≤12At t=0 the sale begins,costco is having a 12 hour sale,The rate…

Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: If y approximate the differential dy when x changes from 64 to 64.07

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Q: dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

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Q: Find the lower bound for the radius of convergence for the following differential equation: (x^2 +…

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Q: Show that a harmonic function u (x, y) satisfies the formal differential equa- = 0. azdz

A: Consider the provided question, Given, ux,y is harmonic function. We have to show that ∂2u∂z∂z¯=0.…

Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: Find dy/dx implicitly exy+x2−y2=19

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Q: 53. df = (x+ 1)ye"dx + xe*dy

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Q: 11. Find dy/dx of In(x² + y²) + 2 arctan

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let e 2* = 2 find dy dx at x = 1

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Q: Can i get help step by step please

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: 8. Compute the differential df of f(x,y) = log (x² + y²).

A: Given; f(x,y) = log(x2+ y2)

Q: Find d when y = 3 In(In(In(x))) dy dx

A: Here we can find the derivative as below

Q: Q16// Solve the partial differential equation a²u = cot³y given that ди == x when y= and u=y when…

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Q: Without solving explicitly, classify the critical points of the autonomous differential equation dx…

A: See the solution and follow the steps. You will understand easily.

Q: Find the number N such that the differential (y^3-2x)dx+Nxy^2dy is exact

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Q: Q3) Find dy/dx if 1- y= In /x 2- y3xsin

A: 1) d(ln(x))dxApply the chain rule: 12ln(x)d(ln(x))dx

Q: dy + ytanx = y° sec° x dx

A: We have to solve given problem:

Q: Find dx (e3t + 1)dt. -cos(3rx)

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Q: - Find dy/dx for y = log2(1 – sin³ (3x²) %3D

A: Use the chain rule to differentiate the given function.

Q: Let A and k be positive constants. What is a solution to dy/dt=k(1-Ay)

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Q: Find dy/dx implicitly. exy + x2 - y? = 11 |

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Q: b) Find if e Vt2 +5 dt + siny = x- xcosy rsinx ycscx

A: According to Leibniz' rule:

Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: ind the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: The solution of a differential equation with no unknown constants is a particular solution of that…

Q: find the general solution of the differentialequation and check the result by differentiation.dy/ dt…

A: The given differential equation: dydt=x32 Integrate both sides of the differential equation with…

Q: Show that d/dx(ln kx) = d/dx(ln x), where x > 0 and k is a positivereal number

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Q: Solve for the general solition of the followimg differential equation using FOLDE or FOBDE. 3. dy/dx…

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Q: - if eV = In(x) + In(y) + e³ ху 3 Find dx

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Q: Let x > 0 and b > 0. Show that

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Q: Can i get help step by step please

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