Solve the following ODE Cuse in tegrating factor plx)> (1 tex) y'=ex

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A: Given differential equation is y''+y'-2y=ex+sinxfind the general solution

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A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Find 1-a Conf int for y txo P( - tor;ou L T L tarziv) =1-a

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Q: Compute √√7, using Newton-Raphson method, Starting from (Xo = 1.5) (take an accuracy 5D places)

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Q: 6. Evalvate the Integral S13 sec O tan? o do =

A: ∫13sec4θtan2θ dθ

Q: Derive the third order dervitive formula at x = x, by using Newton's forward differences

A: Consider the function y=fx which is tabulated for the values xi=x0+ih, i=0,1,2,.....,n. Suppose that…

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Q: Find the area.   y = 3 cos(4x),    y = 3 − 3 cos(4x),    0 ≤ x ≤ π/4

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Q: Use the Bisection method to find the solution accurate to within 10-5 for 2x cos (2x)-(x+1)230on…

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Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first…

Q: By Cauchy's integral formula show that, Se" esin e -2n cos(cose) de = 2n; "esine sin(cose) de = 0 0,

A: Cauchy's integral formula : Let U be an open subset of the complex plane C, and suppose the closed…

Q: Evaluate the integral: S/2 sin(4t - u) du dt

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Q: Derive the third order dervitive formula at x = x, by using Newton's forward differences.

A: To find dydx, differentiate the Newton's forward difference interpolation formula with respect to p,…

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Q: If UX = 6 and XY = 5 solve for UV. Round to the nearest %3D %3D hundredth. U

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Q: Find the integral of 12 sin^5 x cos^5 x dx if the lower limit is O and the upper limit is T/2.

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A: Consider the integral

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Q: If UX = 5 and XY = 6 solve for UV. Round to the nearest %3D hundredth. U

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Q: Suppose that an initially full hemispherical water tank of radius 1 m has its flat side as its…

A: Given:

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Q: The value of integral cos (1+x) d, n= 4 by Trapezoidal rule is (up to 4 decimal digit) Answer:

A: The trapezoidal rule can be used to calculate the integral numerically. The formula for the…

Q: hD (Hint: E =eD and Sinh x: 2 Q3: Prove that 8 = 2Sinh %3D

A: We will prove the following result.

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Q: Submit Answer problem 1 oyt of max

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Q: Expand fix)= Si (x+ T),O<x< I ina half Yange sine series

A: We use the half range sine series formula to find the solution given as follows:

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A: It is provided that the length and width of a rectangle are l=29 cm, w=17 cm, respectively. The…

Q: %23 %24 In using the technique of integration by parts, you must carefully choose which exp…

A: Given ∫x7 cos(8x)dx

Q: 8 (a) To evaluate the integral J cos xdx by using the reduction formula of Cosine function.

A: We have to use cosine reduction formula.

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Q: y" +Zy+3y=sin (3x)

A: Given that,  y''+2y'+3y=sin(3x) The auxiliary equation is m2+2m+3=0m=-2±4-122=-2±2i22=-1±i2…

Q: Solve the nonhomogeneous opdr – 2rdo = q' In odo. equation

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Q: Hico/ prove Thall Cosh2: - 2 tañ z Sinhz: 1+2 Tanhiz =

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Q: If I, = [4t 1 applying the technique of successive tan" x dx , show that I, +I,2 п-2 n-1…

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Q: The answer of integ ra Ssinzx cos3% dX

A: We have to evaluate the given integral.

Q: Solve the following intial value problem. y^(4)=-cosx+8sin2x, y'''(0)=0,y''(0)=y'(0)=1,y(0)=3

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Q: 1, fund warginal cictribution for h(x) for 2. Fud condhtimal pdf4 t) . Estaati yi/ a) V. Estuate…

A: As per the guideline, 3 subparts can be answered. please repost the remaining subpart. thank you.

Q: Find a general solution of each reducible second-order differ- ential equation y" = (x + y')²

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Q: B ) if y= sinh¬1x then prove that =

A: Given y = sinh-1(x)sinh(y) = x On differentiating both sides , we get sinh(y)' = (x)'(cosh(y))dydx…

Q: Find a general solution of each reducible second-order differ- ential equation y" = (y')2

A: Given, The differential equation y"=(y')2 .               ................(1)

Q: 2 = sin5t constitute a fundamenta L

A: Y1=cos5t and y2=sin5t  do not a fundamental set of solutions of differential equations y"+16y=0

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Q: Find Z in (1-j5) 2= tanh cos lat5 express in lagarithm Form

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Q: Find a general solution of each reducible second-order differ- ential equation y" + 4y = 0

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Q: find all solution of z   sinh(2z)=-1

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.