dy Given x2 + y? = 2022 – 2xy, we have dx %3D O 1 O 2 Other:

Q: d°y +9 d²y +24 +16y = 0. Hint: “i" is one dx? dxº dxª of the factors.

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Q: dy Find for y = dx V7 – x2 dy dx

A: Differentiate  y with respect to x

Q: dy for y = x2 - 8. Q2) Find dx x-1

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Q: dy (а) Find for y = cosh(4x). dx 10 (b) Find ( + i) 4

A: Given that: (a)y=cosh(4x)(b)14+14i10

Q: Find (d y/d x)& (dy/dx²) ex cosxy = y

A: To obtain dydx, apply chain rule and differentiate with respect to x on both sides of the equation…

Q: dy Given y = x" In (2x), determine dx a.x“-' In (2x) + а-1 None

A: Please refer to the image below

Q: Find dy. Simplify your answer -x+2y byこメやンInx By=x @ Show that d (csex)= dx 1- .... .... XVx

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Q: dy Find the value of at t = 1 if dx? Vt2 + t, y = t2 + 3 x = 4

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Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: dy You need not expand your answer. Calculate dx 7x2 - 9x + 13 y = 2x + 4 dy dx II

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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 A. Find for the following: dx y = Vx3 +- In(esinh¯ x) i. x8

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Q: F Só So dx dy. x2+1

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Q: dy Determine given: dx ax*y³ – bxy = 36 where a and b are constants.

A: We can find the dy/dx as below

Q: Q2 Find (d y/d x)& (dy/dx²) y ex cosxy = y

A: a…

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: dy Find for y = x17 dx А. 1716 В. 216 С. 16х16

A: A detailed solution is given below

Q: dy 5. (3 pts) Determine given: dx аx*у3 — bху %3D 36 where a and b are constants.

A: 5. Given relation is, ax4y3 -bxy=36 We have to differentiate this relation with respect to x.

Q: 7x 21 dy dx\x=2 ,where y = %3D Find x+1 Enter the exact answer. dy dx\x=2 %3D

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Q: dy Find for y = 5x° e" dx

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Q: d²y Find dx? 3y + x = 4y dx2 ||

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Q: Q2. Find 2 of y = 4x/x + Vx at x 1? dx

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Q: Find for y = dx dy dx 1 C

A: On solving this we will get

Q: dy Find for y = dx /9 – x4 dy dæ

A: see below the answer

Q: Q3/ B: Classify then solve d'y dy (x + 1)? + 3e* dx dx

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Q: Find the solution. 6. (y3 – y?sinx – x)dx + (3xy² + 2ycosx)dy

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Q: 些。x? dx z + 6 -4 y %3D хе ? dx4 with YLoI = 5,y'col =1, 9°co) --2 yiol e 007

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Q: e + d'x 2 dx dt + 5x = 8et when t-o, x -0 = 8

A: Please find the detailed solution in below images

Q: dy Q3) Find dx for 3(x? + y?)2 = 100xy %3D

A: The given equation is 3x2+y22=100xy.

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: dy Is y =V10 – X a solution of dx

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Q: Using dy = dx and dx = 0.03, what is dy when x = 2? %3D 2/3x – 2 dy = i (Write as an exact decimal.)…

A: Given that :- dy=323x-2dx dx=0.03 , x=2 , dy=?

Q: d'y - 9y = e3* + sin 3x dx?

A: Given differential equation is d2ydx2 - 9y = e3x + sin(3x)

Q: IV. Find of the following. dx = V1-t 1. ly = V1+t %3D 3t X = . 1+t3 3t? y = 1+t3 tま- 2.

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Q: dy + 4y dx 31 with y W differen ナけ:

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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: dy Find and simplify as possible: e*y + In xy = 3 dx

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Q: dz dz 10. Compute for the following equation. and dx dy e*Y + xz? = 6xy*. *z° ||

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Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy = i (Write as an exact decimal.)

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Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy (Write as an exact decimal.) %D

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Q: Determine whether dx = y - x* has a unique solution, for which y(0) = 7

A: To determine: The differential equation dydx=y4-x4 has a unique solution for which y0=7. Concept…

Q: Find dy/dx. 2xy3 – x?y = 1 %3D dy xp

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Q: I need the answer as soon as possible

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy 3x + et Find for y = dx x2 – 5 Ans=

A: y=3x+exx2-5To find dydx

Q: Find the derivative

A: To get the y' or dy/dx,  differentiate the given equation with respect to x on both the side.…

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…