dy In(3x + 7) Find for y = dæ 9e5z dy %3D dx

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Compare dy and Ay for y =-2x*+ 2 at x = 1 with Ax = dx =-0.08. Give your answers to four decimal…

A: We have to find change in y

Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: d y = -4 at x= 0. dx dy +2- +5y=0, where y = 2, dx dx

A: We have, the given differential equation as d2ydx2+2dydx+5y=0 Therefore, D2+2D+5y=0 Thus, auxiliary…

Q: dy In(4x + 4) Find for y %3D dx 5e4x dy %3D dx

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Q: dy dy +у сos x + 2xey — Зх2 %3D (1 — х?ey) dx sin x dx

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Q: Reduce the given DE into Bernoulli's equation: - 2x*y¬ dx 3 y-4 dy_ y5 2x4 y4 dy dx dx 3 3 dy 2x* у…

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Q: 3 dx – dy = o; y(o) = 6 x² dx + y² dy = o; y(9) = -1 x dx + 2y dy = 0; y(1) = 2 4 cos 2u du – e5v dv…

A: As per our guidelines we are supposed to answer only 3 sub-parts of a question

Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: dy y = In 1-х2 dx 1+ x2

A: To find: The derivative of y=ln1-x21+x2. Concept used: Chain rule of derivative: fgx'=f'gx·g'x The…

Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: QI Find d for dt dy = 4e - 5x'e0 dx dy 3x e +5x'e dx الخبار ه 2 dy dy 2xe 2e + 4xe* dx dx dy 5x'ere…

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Q: 6) Find dy given e 3y = y2 + x. opr dx

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Q: Find dy. y=3 In (4+x) dy =D

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Q: Sdz dx dy=1 dz dy dx=24

A: Given  a) ∫01∫12∫23dzdxdyb) ∫01∫x2x∫0xydzdydx

Q: dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

A: As we know that; The Power Law: ddxxn=nxn-1 From the given problem: y=x3-2x ; dydt=3 First, we have…

Q: y=(1+2cot"x) 3 dy_ 8(1-2cot"x) dy 8(1+2cotx)° %3D dx 1-x dx 1+x? Op tion 3 Op tion 1 dy -8(1–2cot"…

A: Let's find.

Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: dy 3x2 + 2 and dt dx Find 3 if y = – 2. at x - dt dx dt

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Q: dy In |= 8x+7y; y(0)=0 dx

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Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: Find dy by +xy-X=0 dy=( )dx

A:

Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

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Q: d'y 10ay+25y = 0. dx? 1. Find the general solution for dx

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Q: Н.W. 2) Inx = dy = 1 dx dy 1) = ex-y 3) /2ху dx dy y

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: dy = 3. dt dx at x = 4 if y = - 2x² + 5 and dt Find dx dt

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Q: dy 2. if y = In(x² + 1) Then at x=1 %3D dx 2- 2 In 2 2- 1 1- 4- 1/2

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Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

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Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: Cln S iny 7. ex+y dx dy 0.

A: I=∫1ln8∫0lnyex+ydxdy⇒I        =∫1ln8ey∫0lnyexdxdy               =∫1ln8eyex0lnydy…

Q: dy (1 + æ)* Find for y dx Ans=

A:

Q: dy 2) Find implicitly: dx (a) xy+3x2 =y? (b) exy – Iny =x? %3D

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Q: 3y dx dy 1.) Evaluate exactly: Va + y?

A: We will use double integration

Q: d²y – 4y = 0 dy, - (at x = 0) = 4 dx а. dx? y(0) = 2; - d²y b. 5- dx2 sdy dy - (at x = 0) = 0 dx +…

A: To solve the given differential equations.

Q: In (In y) dx + xy³ dx + x²y² dy+ In x dy = 0 y In y %3D 3.

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)

Q: Solve the differential equation listed below:

A: Separate the variables.

Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: dy 4. = 4 sin 2x ; y = 2, when x = Tt/2 dx

A: Given a differential equation, dydx=4sin2x ; y=2 where x=π2 To find the general solution of the DE.

Q: dy y(ln y- In a +1) %3D dx

A:

Q: (y In y e") dx + +x In y dy = 0

A: The given differential  equation is of the form Mdx+Ndy=0. Identify the functions M(x,y) and N(x,y),…

Q: Find dy/dx by the implicet differentiasion x2+y2=64

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Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives

Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx