3. Evaluate 2y²sinxy dy dx 4. Evaluate , S sin(x² + y²) dy dx

Q: 5. Find dy/dx (y - x)? = 2x + 4

A: Given: y-x2=2x+4 To find dydx. Solution: Power rule of differentiation states that: ddxxn=nxn-1…

Q: 26) If y=sin(-0).find dy d0

A: Given.

Q: Find dy dx? if y= 5cos2x-4sin 2x at x =0

A:

Q: dy evaluate dx (sinx+1) 5-1f: y = (cosr+1)

A:

Q: 4- Find dy/dx for: a- y = sec?x – tan²x b- y = sec (– x) c- y = sin(tan(3x))

A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

Q: If Sin xy² = 4x − 3y, find - dy_4-y²cosxy2 dx 2xycosxy2+3 dy dx Option 1 O

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Q: .2 x sin (xy) dy dx Jo Jo

A:

Q: What is dy/dx of 1/2e^2x

A:

Q: 4X dy 2siny ?) S dy sinzx e 3) S sin? dx

A:

Q: d'y dy tion dx? + sin x = 0 is + y- dx

A:

Q: (1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

A:

Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

A:

Q: If y = cos? x – sin? x, what is ? dx dy dy = 2(cos x – sin x) dx dx Option 1 Option 4 dy dy -2(cosx…

A:

Q: SOLVE THE FIRST ORDER DE. dy – yln(yecosx)dx = y sinx dx

A: dy-yln(yecosx)dx=ysinxdx

Q: A. Find dy dx 9. sin y = In(x + y)

A:

Q: 5. Evaluate sin y - dy dx y

A:

Q: 2- find dy/dx erty = 2x + 2y*

A:

Q: Find d^2y/dx^2  Sinx+cosy=1

A:

Q: 2 3 Evaluate: y cos(z5) dx dy dz 0

A:

Q: If dy/dx=sin(x)cos2(x)dx and y(pi/2)=0, whats the value of y(0)?

A: I am going to solve the given problem by integrating the given differential and by substituting the…

Q: 3. If y = (5x)sin(3x), then dy dx ||

A: Given the function y = f(x)

Q: FIND DY/DX OF THE FOLLOWING 6. y=sec'Inx

A:

Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: 25 a²y(cos(Tz) +2) dæ dy dz

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Q: Given that y=e3x sin 2x. Show that d2y/dx2 - 6dy/dx + 13y = 0

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Q: Find dy/dx for the following: 1) y = x3 + sin x2 + sin-1 5x

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: 3. x dy + 6y = 3xyi dx

A:

Q: 1. Differentiate the following: а. у %— y = x²e2x, find dy/dx

A: Differentiate the following

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: 3 sin(3x) 2cos (4y) dy dx (-)= 3 4

A:

Q: 5. Evaluate r'sin(y³) dy dx

A:

Q: Solve the Linear DE dy/dx = 1+ 3y tan x

A: I have stated the used formulas in the solution.

Q: d²y if y = 5x cos x. dx? Find dy dx? ||

A:

Q: - Ixy cosx? - 2yy t|] dx + [ Sin x? - x2] dy= O

A:

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 8) a) Find dy/dx if: e3x = x+y b) Differenctiate y = (sin r)"

A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

Q: x7+3x2. Find dy/dx if: (y)² = sin (cos³(* +3: *)) %3D 2

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Q: -T/6 T So Soo S xy sin(yz) dx dz dy.

A:

Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

A:

Q: @2) find to dx 2. y=CoS 2' Sin e

A: To find the dy/dx of the given function

Q: I. Find dy/dx in the following: 1. Y= sin In(x + 1)

A: To find the derivative of given function.

Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

A:

Q: In(3) In(3) dx dy y/2

A: on solving this we get

Q: If sin2y = (8/3)x° then dy/dx at a point (0.5, T/2) is

A: take derivative

Q: dy = 4 cos 4x dx

A: The given differential equation is dydx=4cos4x. We can solve this differential equation using…

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below

Q: 9. 2y(у? — х)dy — dx, when x %3D2,у %3D 2

A: Given that: 9.     2y(y2-x)dy=dx,    when x=2, y=2     NOTE: As per our answering guidelines, we can…