10 de . 4+3cose Integrate

Q: follerving initial value problems by separating the Vasiables Solve the ye)=2 %3D %3D dx

A: Solution:Givendydx=y2-1x2-1; y(2)=2Formula:log ab =log a +log blog ab =b log aa2-b2=(a+b)(a-b)∫1x…

Q: Q2- i) Evaluate the following integrate 3 –dx 1+sinx

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Q: 2 sin (t) cos (t)d J

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Q: temine the fool wing integrals: 1. S" e2*cos3xdx

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Q: Question 009: Complete the following question involving Integration by Parts Method. Given the…

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Q: 1 dx, by Boole's method, take h= 0-25. 1+x Evaluate I =

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Q: Can i get help step by step please?

A: Given expression

Q: Evalulate J-{xx² dx by usig trapezoidel eule m:io

A: Introduction: The Trapezoidal rule is one of the basic methods to evaluate integral for equispaced…

Q: 2ydx — 3ху?dx — - 3xy²dx – xdy = 0

A: We have to find integrating factor of given differential equation.

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 2 O 1 O 0.5 O 1.5

A: Given integral is, I=∫0b2x-1dx Now, integrating the given integral, I=2x22-x0bI=x2-x0bI=b2-b

Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %3 — 5. | dx 2y

A: Let's solve diffrential equation.

Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: sin (tz) I = dz , c: |z – i| = 2 24

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Q: a/4 32. The value of xcos(x') dx correct to three decimal places ( assuming that p = 3.14 ) is

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Q: (e+y)dx + (2+ x + ye )dy =0

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Q: 1 tegral 2-2 dx eq" others

A: We have to choose the correct option according to the given information

Q: G- sin y) dy = 0. Consider the DE dx + 1. The integrating factor is ey.

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Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du…

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in…

Q: Mesin(2x) dx = eSin(2x) + C, then the M is equal to B %3D

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Q: æ = (f+ a)soɔ Which among the choices is equal to the dy/dx? In your sc - cos(r+y) A)

A: Given: cos(x+y)=x

Q: y4 – 2xy) dx + 3x²dy= 0

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Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

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Q: Which of the following equations is(are) true? 1 2x du I. -dx x² + 1 S 5.² o √u √2 1 2x II. -dx 10…

A: Given: I=∫012xx2+1dx   ...1

Q: Question 001: Complete the following question involving Substitution Method. Given the integral…

A: Given,          ∫54x+73dx

Q: (х+2у — 1) dx — (2х + у + 5)dy %3D 0 IC:х — 1,у — —1

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Q: Q2- i) Evaluate the following integrate 3 dx 1+sinx

A: Since there are multiple question , we solve the first one . Post the other question again. ∫31+sin…

Q: S ii) Show the DE is not exact (2y²+3x) dx + 2xydy = 0

A: Solution :

Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: ,2 4 +(dx dt 2 dt ....

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Q: Question 40 Evaluate V1+ a?dx dy O 2/2 3 O 2/3 O 112/2 3. O 1/3

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Q: Solve the equation (2х + 6) (2y? + 3) dx + 4y(x? + 3x + 2) dy %3D 0

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Q: (2xy-y)dx+x(x+ 1)dy = 0 %3!

A: Exact differential equation :       A differential equation is said to be exact if it satisfies…

Q: 16) Approximate ,xer'dx Using Gauss-Legendre 3 points formula G3(f)

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Q: ion corresponding t + bx) e³× is given by en (a - b) is

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Q: 1 Ju'e" du = u'e n-1 eau au Use the formula not integration by parts, a to evaluate / = fx'e*dx

A: The given integral is ∫x2exdx

Q: Two charges, one is + 28 nC and other is -2* 28 nC are separated by 1 m distance. What is the…

A: Given that the two charges, one is +28 nC and the other is -2*28 nC are separated by 1 m distance.…

Q: スー3x) dt 23

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Q: 3 2e + 4 sin x a.

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Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

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Q: Inc Find - (1+lnx)? dx. This is a challenge one. Hint: It requires integration by part.

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Q: FCH)- O -t e Sin 2t dt

A: To find the below integral. ft=∫0te−tsin2tdt

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 2 1 0.5

A: Use the following formula, to estimate the integral ∫abfxdx by Romberg integration method.…

Q: Hi, I need help with this step-by-step please. Thank you.

A: Given integral is  We will divide the interval [1,4] into n intervals, length of each interval is

Q: Question 13 d?y of y = 4x dx' Find the 3. y" = 4 Eethis reapon

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Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

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Q: 2 (6x) dx (бх)2 + 5

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Q: Question 17 х dx. (use 2 decimal places, no space) 5+x Let * = 2.74, and y = 3.75. Determine the…

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