If y = u° and u = 5x6 + 5, find dy when x = 1. dx dy (Simplify your answer.) dx |x=1

Q: Given that y = ln a-7, find d %3D O dx dy d.x ||

A: GIVEN : y = ln |x2 - 7|

Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: Given x = 8t - 21 and y = 64 sin t dy (i) dx dy (éi) dx?

A: I am attaching image so that you understand each and every step.

Q: dy dzy B) Find and if x = sin? 3z and y = tan 3z dx dx2

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Q: b) Given y= ae¯* sin(x+b) where a and b are constants. Show that d²y -2x dx +5y=0 dx

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Q: Given x = 2 cost + 10 and y= 8 sin? t dx (i) dt dy (ii) dt dy (iii) dx

A: Let's find.

Q: Find dy/dx at the given point without eliminating the parameter. =V' and y=24+4; t-1. dy/dx is Blank…

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Q: dy dx\, Given that x = t e and y = 1² e“ +1¸ Find = - 1

A: We have to find derivative at that point

Q: Find the general solution of dy + y cot(x) = 6 csc'(x). dx

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Q: j) S (2 cos a – e) dx

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Q: Given a = 2 cost + 17 and y = 3 sin? t dx dt dy dt dy dx

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Q: Find the general solution of the given Attached equation

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Q: If y = u and u =3x +3, find dy when x= 1. dx dy (Simplify your answer.) dx Ix 1

A: The solution is given as

Q: dy = y? – 4 dx

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Q: In the given Bernoulli's equation 6y?dx – x(2x³ + y)dy = 0, what is S P-(y)dy? Iny 1/y

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Q: Find the general solution to the following equations: dy у-х dx y+x

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Q: The solution of the DE dy + (y – 1) dx =0

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Q: Find the general solution of the given Attached equation

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Q: Given x = 5t – 27 and y= 25 sin t dy (i) dx d'y (ii) dx? ||

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Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

Q: dx x- y- dy dx (Separation of variable) dy

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Q: Find the values of a and b that make following D. E is exact ( - 4) dx + (xyo + 1) dy = 0 x2+2

A: Remark: A differential equation of the form M(x,y) dx + N(x,y) dy = 0 is exact if and only if dM/dy…

Q: dy 5. If y = e+1 sin(1 – a2), then Find dx

A: We need to find the derivative of y=e3x+1sin1-x2 We will use the product rule to find the derivative…

Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: What is S ØQ,(x)dx if the given equation is dy y = 2xy?e¬x? | dx Select the correct response: -x2…

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Q: Given x = 6 ln(t) and y = 36 t² then find dy dx dx?

A: Let x = 6 ln(t) and y=36t2 Differentiate x with respect to t dxdt=ddt6 ln(t)=6ddtln(t)=6·1tdxdt=6t…

Q: Given that y = 7 ln u and u = 6x? dy Use the formula dx dy in terms of x. dx dy du to find dz du

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Q: Find the general solution of the equation тx dy %3D пу dx

A: see calculation below

Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: What is the answer for this DE? 1.) (y -

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Q: 2. ye* dx + e*dy = 0

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Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: d. Bernoulli's equation y' +y = e*y+ 1. 2. xdy + ydx = xy?dx

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Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

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Q: у?dx + (ху — 1)dy %3D 0

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Q: = cos?y is dx The general solution of the DE

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Q: The general solution of the DE dx dy = cos?y is

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Q: if y=u, u=v -1/2 and v=lnx, what is the value of dy/dx at x=e

A: Calculate the value of dy/dx and then put x=e .

Q: For which value of a the equation SSS dy dx dz 1 2 does hold? O a. 0 Ob.1 O.-1 O d. 2

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Q: 2. Given xy? =Sinlyz find dź/dk

A: We are given: x2+y2+z2=sinyz Differentiating both sides with respect to x, we have…

Q: x³ + aa² + 7x + -3r" + V + x* + sin(x) = y, then dy/dx is: If

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: If Xy +y'=1, find at the point Co,-1) 4P dx 2 5- the value of

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Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: Evaluate the dy/dx of the equation x2 + 3y? – 2x + 5y – 12 = 0. Evaluate the dy/dx of the equation…

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Q: Given z = 5 ln(t) and y= 25 t then find dy dx d'y |3| 一

A: We can solve the given problem using the concept of chain rule of derivative in order to solve the…