Q5: If y = A sin 4x then, show that d³y d'y dy dx3 + 16- dx + 16y = 0 %3D dx2

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

Q: dy x +1 xy %3D dx

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Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

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

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Q: dy In(4x + 4) Find for y %3D dx 5e4x dy %3D dx

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Q: Q1/ Evaluate So (x² + 3y²) dy dx using Simpson's 1/3 rule in x-axis and Simpson's 3/8 rule in y axis

A: 1 Given integral is ∫03∫01x2+3y2dydx. We have to evaluate the given integral  by using Simpson's 13…

Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: Q2/Find dx of y = sin(e') + xtan-1x. %3D

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Q: dy Determine the general solution of = 1+ 3y tanx. dx

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Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: 2. dz+a dy+y dx² Solue Sinx where e variation of parameter

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Q: dy sin(2x) Find for y || dx /3 – x2 dy dx II

A: Doing the proboem by obtaining the derivative.

Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

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Q: dy (=)y = x* sin x. dx

A: Linear differential equation

Q: Q3 (d^2 y)/(dx^2) - 2dy/dx of Undetermined Coefficient) 20e^(-x) cos(x), y(0) = 0 = y'(0) (Use…

A: we have to solve given differential equation by using method of undetermined coefficient

Q: dy at the given point. dx Calculate sin² (–5y) = x + y, - %3D 4

A: Given equation sin2(-5y)=x+y and point 2-π4,π4 The objective is to calculatedydx at the point.

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

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Q: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

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Q: dy Find for y = - 7x+5 cos x. dx

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Q: dy Find for: dx y = 5x[cos"(5x] -ī - 25x2

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Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: Find dy/dx by implic differatiation. c)sin(xy)=cos(x+y)

A: to find dydx of  sin(xy)=cos(x+y)

Q: sin(x+y)=xy  what is dy/dx?

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

A: Given the function y = f(x)

Q: d?y +5xy = 0 dx +(sin x) 2 dy +2 dx dr3 = 1 dx2 O Option 1 O Option 2 d²y +3y dy dy dx? +y = 5x dy…

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

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Q: dy Find for dx 4) y= sinxtanx

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Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: The given expression is y=sin(4x)1-x4. Find the derivative of the expression. The quotient rule of…

Q: dy 4 sin 2x, y = 2, when x = 1/2 dx

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Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

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

A: Differentiate the following

Q: Find xer2 dy if dx = y sin x 1-

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

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Q: dy Find of y* = sin(e) + xtan-'x %3D dx

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

A: Given y=sinx2-xex To find dydx

Q: dy Given y= 5e3X + sin x, -is dx

A: differentiate y with respect to x  with the help of differentiation properties we will solve the…

Q: Find dy/dx at the given point without first solving for y. xy2 = 343 at (7, 7) dy %3D dx

A: Given query is to find the derivative of the expression.

Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

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Q: S. use "Exact Equation" method (cosxcosy + 2x)dx-(sinxsiny + 2y)dy = 0

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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: What is the value of dy/dx at x = 1 of the function * = (20" – a*) () x+1 y = - 2-1

A: We know that: The Power rule: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: Chose only two: dy 1. Find for y + In x2 y2 -cos 2x* = 27 dx 2x+1 2. Evaluate: f dx -4

A: We use chain rule and product rule while differentiating the given equation.  Also for integration,…

Q: Q2 \ Evaluate .1 dx by using trapezoidal rule. 1+x2

A: See the details solution in below

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: ¥3 at x = 0, and = 0 with the dy dx

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

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Q: Find dy/dx at the given point without first solving for y. x2 — бу — 37 %3D0 at (1, -6) | dy dx

A: This question is based on derivative.