[2 ln (x)+1] dy in yty cosy %3D dx

Q: dx dx Solve the equation +3 + 2x = e' given that x (0) = 0, x' (0) = dt

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Q: -sinh(x) at x = 0 is dx21 Answer:

A: Derivative of the function

Q: Evaluate: - / (e* -e*)dx e ¯X+C 2 A | B) None cosh x +C 1 - sinh x +C 2 D E sinh x +C F -cosh x + C…

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Q: 2) dy x+3y dx 2x

A: We will solve the problem

Q: the value of the integral dx 4.x(ln(9x))² 2

A: In the given question, the concept of integration is applied. Integration Integration is a method of…

Q: Find dy/dx for the following       y=ln(x2 +1) 5

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Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x…

A: Given:     y = cosh ( ln ex^3 )

Q: solve D.E. by using separable of variable dy 1 V2xy dx

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Q: Use x = ey to explain why d/dx (ln x) = 1/x, for x > 0.

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Q: x[cosh?(2x2) – sinh²(2x²) ]dx is equal to A) x?dx B None xdx D dx (E) 4 xdx

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Q: x[cosh?(2x²) – sinh²(2r²) ]dx is equal to A xdx B xdx x²dx D None E dx

A: To find the given integral is equivalent to which integral.

Q: Calculate dy/dx. Simplify your answer. y=2x+6 over 5x-1 dy over dx=

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Q: dy, y Q:Solve: +² log y = (logy)° . dx X

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Q: Show your complete and simplified solution. [1] (3xy + 2y?)dx + (x² + 2xy)dy = 0

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

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: I'Y (x) dx (x- 1)A =1+1+?. WINC

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Q: dy of the following implicit functions. dx Find ху - Зу 10x 3.

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Q: Find  dv/dx,   v =  log(  n√( (1-cosx)/(1+cosx) ) ) Where n = 744.

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Q: dx x- y- dy dx (Separation of variable) dy

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Q: Approximate 2x e 2 dx using three equal subintervals. - 1

A: To Approximate

Q: e* sin(3x° +4) dy find using the logarithmic differentiation. dx Given y Vx +2x

A: Please refer the attached image for complete solution.

Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

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Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

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Q: Find dy/dx by implicit differentiation. e^(y)=3x−7y Answer: dy/dx=

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Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: Q1: Find dy/dx of the following functions: 1. x?e? y = log2 2Vx+1,

A: Disclaimer: Since you have posted multiple questions, we will be answering only first question for…

Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: d 55. Vcosh x +1 (cosh x + 1)-/2 sinh x dx

A: Given The function is f(x)=cosh x +1 .

Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

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Q: 2. S 2e* tanh e* dx

A: A detailed solution is given below.

Q: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: what is the general solution of a = e* dx +1

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Q: How many times will you perform integration by parts to evaluate sin (Inx) dx? A 4 (B 2 1 3

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Q: Find dy dx x +3 Sint de X-x

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Q: find dy/dx x(х+1)(х- 2) (х*+1)(2х+3) 25) у%3 43) у%3D 1+(lin x)? 1+(ln x)?

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Q: Solve Y for csc(3Y) + e2%cot(y²) = log2/xy dx

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Q: Solve the derrivative and enclose the final answer. xdy - { y + xy3 (1 + ln x) } dx = 0

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Q: S16 – x2" Quiz: integrate the following equation x3 dx 16 -x2

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: to dx パー! 2 S dx 3J xtl to

A: (a) ∫2∞x2x3-1dx Solving the integral  Let  x3-1=t3x2 dx= dtx2 dx=dt3 Therefore, ∫2∞x2x3-1dx=∫7∞13…

Q: QI: Solve the following DE: e*dx-ydy 0y(0) = 1

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Q: dy 2ху+ бх + (х? — 4) dx Solve

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Q: obtain the ava dient to Cu gra equation givey by メ= ln and sigh '2t wh 3.

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Q: ell ау dy - 6 dy + ay dx 1. 3x 6e³x + 7e-²- log 2

A: We have to find the general solution of the given non-homogeneous linear differential equation.…

Q: 4. y= log1,(x* +3x² +1) %3|

A: Given: y=log10x4+3x2+1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: dy + y - Sin X dx =0 difference Ekact Solve.equation by

A: The objective of the question is solve the equation of difference.

Q: Given that 1 -dr+ 1 - dx = ln a, find the exact value of a. V16+9x? V9+4x?

A: given: ∫01116+9x2dx+∫0219+4x2dx=lna we have to find the exact value of a.

Q: x sin x dx = log y dy %3D

A: Let's find.

Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations