dy when xy – y = 3. (Your answer does not need to be completely simplified, 2. Find dx2 though it should be in terms of only x and y.)

Q: dy Determine dx in terms of x and y for the equation x + xy2 – y = 3.

A:

Q: dy/dx= 4/ root x, for x is greater than or equal to 1, with y(4)=4

A: Given equation:

Q: For the equation given below, evaluate at the point (1, 2). dy dx 3e*y 5x y + 15.2. - dy at (1, 2)…

A:

Q: r2 f (r,0) = ere dx 02

A: This integral is special integral called exponential integral

Q: dy y = x-'(a² + x²)¿, solve for dx

A:

Q: Q3) Evaluate xty'dy dx?

A: Given: ∫24∫12x2y2dydx

Q: Determine dx dy in terms of x and y for the equation x + xy? – y = 3.

A:

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: What's the general solution : (y − 1) (dy/dx) = y(x^2)

A:

Q: d' dy dx2 + 4y 3e dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Let xy = 2y + x. If you implicitly differentiate this dy equation, and then solve for you dx (a-y)…

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: dy Find the general solution of 2x² = a? + y? dx %3D

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Q: Use the information to find and compare Δy and dy.

A: Given that, y=x2-5x=f(x) x=-3 ∆x=dx=0.01   As we know, ∆y=f(x+∆x)-f(x) dydx=f'(x)⇒dy=f'(x)dx

Q: dy .3. +x'y = dx

A:

Q: dy if y = 53*, than dx %3D

A: To find dydx for y=53x Let u=3x then y=5u So, y is a function of u, and u is a function of x. So to…

Q: dy dx2 in terms of x and y. Find x2y2 - 4x = 3 dy dx2

A: Given equation :

Q: x²y = (1+ x)Csc y dy dx

A:

Q: Find dy/dx for this equation, 384=(x+2)3/4(y+3)1/3.

A: We have , 384=(x+2)3/4(y+3)1/3 Cubing both sides

Q: Question d'y if-2x + 7y = 10. Find %3D dx2 Provide your answer below: dy %3D dx2 Previous

A: topic - implicit differentiation

Q: NOTE: Enter the exact answer. r3-y 5y dx dy

A:

Q: 4) x dy-ydx=(x²+xy-2 y²)dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy By separating the variables, solve the equation dx given that when x = 0, y = 0

A: e^y =(e^(- x^2) +1) /2

Q: dy If y = sin(5x – 7), then dx II

A: Given that, y=sin(5x-7) We have to find first derivative of the given function.

Q: Slove this equation -2/x e y dx =1 1 x / dy

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Q: (Зх — Зу+ 4)dx + (x — у)dy %3D 0

A: Given equation is (3x-3y+4)dx+(x-y)dy=0 This can be rewritten as, dydx=-(x-y)(3(x-y)+4) Take…

Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

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Q: d²y - = 0 and dx? Let y=e" +b(x+1)'. When x = 0, that dx dy a) suppose = 0. Find the possible values…

A: Here we have to find the values of a and b. The solution is following .

Q: V1-x² e-(x²+y²) dy dx

A:

Q: For the equation below, find dy/dx. 3x3y2 - 2x2y = 5. dy/dx=?

A: Given equation is  3(x^3)(y^2) - 2(x^2)y = 5.

Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

A:

Q: dy if y=x2.e2", then dx

A: We can use product rule to find the derivative of the given function Product Rule…

Q: dy y3Dx dx Inx Find

A: y=xlnxTo find dydx

Q: dy (4) = y? – 2ry + x² dx %3D -

A: We will find out the required solution.

Q: do. Z=XSin.y.. ay? dx .2 3.

A:

Q: Use the substitution Y(*)= x* · u(x }to convert the equation 2 d²y dy +ax- +(1+x°x* )y = 0 2..2 dx?…

A: The differential equation is given as x2d2ydx2+αxdydx+(1+k2x2)y=0let y(x)=x-λu(x) To find the…

Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

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Q: dy Find of the equation x'y +4y=3x dx %3D

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Q: dy when x = 1. dx If y = u" and u= 6x +6, find (Simplify your answer.) dx x= 1

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Q: If x+y = 63, find the value of dy at the point (-1,4). %3D dx2 The value of at the point (-1,4) is|:

A: Given, x3 +y3 = 63  We have to find the value of d2ydx2 at the point -1, 4.

Q: a) Given that y = 2x – x2 + 3 i) dy Find dx ii) d?y Find dx2

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

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Q: OUse the undetermined coefficient technique to solve d²y dy + 10 + 25y dx 14e-5x dx?

A: Consider the given function d2ydx2+10dydx+25y=14e-5x. Obtain the general solution of the given…

Q: d’Y 2) Find dx? X = et et Y = et + t?

A: we have to find the second order derivative

Q: dy Find the equation of the solution to dx x°y through the point (x, y) = (1, 2).

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.