dy What is the value of dx at the point (1,0) if y = In(x² + y²)? %3D Undefined O 1 O 2

Q: (ysinx + xycosx)dx + (xsinx + 1)dy = 0, with y(0) = 1 is %3D x*y? ++ = 9 3 3

A: Given that  The differential equation

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

Q: Question 1 dy What is dx of 5/ - 25 = 1 ? dy 15 y/3 A dx 4x½ dy 4x½ dx 15 y½ dy 15 y½ 16

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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: EXAM Q1-If x= cot- VE, y =;, find dy dzy dx' dx2 at t = 2. t+1

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

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Q: dy Os:A- Find dx for the following functions: - xy? 1- 1+secy = 1 + x* 2- If y = and t = V2x+1 12+1

A: NOTE- SINCE, WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION. SO, I HAVE ANSWERED FIRST…

Q: dy is let y = ln(V – 9 + a). -9+x then dx S'

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Q: Evaluate xy dx + (x + y)dy along the curve y=x? from (- 3,9) to (- 1,1). | xy dx + (x + y)dy =|…

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Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

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

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Q: dy Find the value(s) of dx at y=1 given that x2y+y2 5. ony A only -클 only 3. D 2/3

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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: If y = xcosx, what is dy if x = and dx = 0.2 ? 0-1/2 0-20 05/0 O EN T 10

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

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Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

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Q: d'y Find dx? given that 5xy = 25. Oa. O a. dy 2y 2 dx2 Ob. d'y 2y x2 Oc. d'y ,2 dx? O d. dy dx?

A: Topic:- Derivative Correct option = b

Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +…

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Q: x +1 dy =? find y = In x – 1 dx

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Q: dy 18. Given y = 5t ( 3 - t), t = In p and p = e*. Find and simplify %3D dx

A: Given: y=5t3-t, t=lnp, p=ex   As we know from the chain rule; dydx=dydt·dtdp·dpdx    .....(1)   The…

Q: dz The sides of the rectangle below increase in such that dt 1 and a way dx dy 3. At the instant…

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Q: dy d’y The order and degree of the DE + = 0 respectively, are and dx dx?

A: The order of a differential equation is the highest order derivative it contains. The degree of a…

Q: Find the value of dy/dx at the given point. (Verilen noktada dy/dx değerini hesaplayınız.) xe' + sin…

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Q: Find of / dx and of /ay. f(x.y) = elx +y+6) of I dx = of I dy =

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Q: dy Find dx at the point ( x, y ) = (1 , 0) If e *y = e * In(x²) + y² + 1 %3D

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Q: dy Find dx for y = (1+ æ)* || Ans=

A: Here we can find the derivative as below.

Q: Bslve the differemial egution :- rential qution: dy =y? Cos -2X"y² %3D dx

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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: dy Differentiate implicitly to find dx 2x+7xy + 9y + 19y- 8 = 0 + dy %3D dx

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Q: dy Find dx' given In y = e" sin x

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Q: Find the value(s) of dy at y=1 given that x²y+y² =5. dx only only D

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

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Q: dy -y In (yecos)dx 4. COS Y sin x dx

A: The detailed solution is given below Thank you

Q: dy Differentiate implicitly to find dx 3 7. 2 x'y +4x = 3y +2 54 3 dy dx

A: Given; x5y4+4x32=3y73+2 To Find: dydx using implicit differentiation

Q: dy dy if x cos 'y= x+y. Hence find the value of dx if x = 0. dx 4. Find

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

A: y=2ln(2+x3)

Q: dy about cosx+ylny= 0. dx Ask for

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Q: dy If y=t+t and x= 5t+7 then at x = 17 is: dx

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

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Q: dy find dx t - 1 If y = t and æ = t+1 dy A. 2t(t + 1)2 dx В. dy = t(t+1)² dx dy 2t С. dx (t + 1)? dy…

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Q: dy at x = 2 for the function below. dx Evaluate у3 7из — 9и + 8, where u — 5х3 — х + 6 Answer dy dx…

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps…

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: 37. Use Fubini's Theorem to evaluate dx dy. 1 + xy

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Q: dy = y|* – sin x. In x when y equal to: dx

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Q: 5. For y = Vx + In x find dy dx

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Q: dy 7- for csch e is equal to: dx de de a) csch e.cothe dx b)- csch e.coth e e)- csch e.coth e dx

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Q: dy y(In y-In x +1) dx

A: The solution of given homogeneous differential equation is written in step2.