1. (3sin y – 5x)dx+2x² cot ydy = 0 -

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

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A: Solve for the given

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

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Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: Solve the LDE = dy/dx = [1/(1+x³)] – [3x?/(1 + x²)ly %3D

A: The question should be  dydx=11+x3-3x21+x3y⇒dydx+3x21+x3y=11+x3 which is linear differential…

Q: 1. еat sin mx dx 0. 8.

A: Given data: The given integral is I=∫0∞eatsin mxdx. The given integral can be written as,…

Q: Differentiate. In x y= 11 y3D dx

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Q: 2- Find dy/dx for y = In(tan(2x2))

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Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

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

A: Given the function y = f(x)

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Q: 14) find the respect of y with respect to x Y=(6x+5)^x dy/dx=?

A: Given function: y=6x+5x Taking log to the both sides logy=log6x+5x We know that logxa=a log(x) So,…

Q: So S (2x – sin(y)) dx dy.

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Q: O Calculate ........... 2 4-y2 dy dx O I-X ® yde dy

A: Here we will find the solution of question 4. a)∫01∫1-x1-x2dydx Solution: Here the independent…

Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: Find dy by Dx when y is equal to under root  2x²-5x+n whole cube

A: Given: y=2x2-5x+n3

Q: If y = arctan (4x² + 4x + 5), dy dx

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Q: 1. Given [In(4x² +7)ľ° y= find dx dy tan(5x)

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Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: (a) --y = 2x?y, y(1) = 1 dy dx

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Q: Suppose that y = (3x² + 4x + 2)/5. dy Find dx dy dx

A: Given:   To determine:

Q: 3. у?dx— x(2х + Зу)dy %3D -

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Q: Solve (1 + y) dx = (tanly-x) dy

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Q: (3 sin y – 5x)dx + 2x² cot ydy = 0

A: Given the differential equation:       (3sin y-5x)dx+2x2cot y dy=0 Solve using substitution method.

Q: (a) Find thne derivative. y = In(4x – 6) – 3 In(x) dy dx

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

Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

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

Q: x dx using Sim | size 0.3 is

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Q: 8. Find dy/dx in terms of x and y using implicit differentiaton 5y 4 +x 2 = 9

A: Step for implicit differentiation: (1) Differentiate with respect to x (2) Collect all the…

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Q: Solve the LDE of dy/dx = [1/(1+x3)] – [3x2/(1 + x^3)]y

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Q: Suppose that y = 2(x² – 2æ)-5. dy Find dx dy dx II

A: For the solution follow the next step.

Q: (х + Зу — 5)dx — (х — у—1) dy 3D 0 -

A: Given: x+3y-5dx-x-y-1dy=0 To Find: To solve the given differential equation.

Q: y = 3 (Arccos(2x))x“ Inx X

A: Explanation: Given that, y=3arccos(2x)xlnx   Concept Used: 1. Product Rule: (f·g)'=f'·g+f·g'…

Q: I. Find dy/dx in the following: 6. Y=sec² Inx

A: We are given: y=sec-1 lnx The derivative can be found as follows:

Q: if y =(ln x +1)(2x3 -3x), then dy/dx will be _________

A: Use the formula of differentiation of product of two functions to solve this problem.

Q: 2x(y+ 1) dx – ydy = 0 when x = 0, y = -2

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

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Q: 17. dy dx = y2/3

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…