Use the method of undetermined co – efficient to solve: y'' + 2y = sin (x)

Q: Compute for a real root of Sin Vx – x = 0 using three iterations of Fixed-Point Iteration - Method…

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Q: By using separable method ,solve 2. y cosx dx 2 + tan x %3D

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Q: if f(x)=2x-cos(x), Use Newton's method to approximate x, starting from the initial value xo=0

A: Solution:-    fX=2x-cosX           x0=0    f'x=2+sinxwe know      x1=x0-fx0f'x0           =0-f0f'0…

Q: Compute for a real root of sin Vx – x = 0 using three iterations of Fixed-Point Iteration Method…

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Q: A) By using simple Iterative method, find one root of the equation sin x = Use 3D. %3D (x2- In x)3

A: We have sinx=1x2-lnx3 Now, if we need to find a solution of fx=0 then we write fx=0 in the form x=gx…

Q: Locate the approximate root of cos(x) – xe* = 0 using fixed point method, stop with the iteration if…

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Q: sec( c)+y dy e sec do

A: Given differential equation is homogeneous equation

Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

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Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

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Q: Find the differential of z = sin²(5x) + ev

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Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: Compute for a real root of sin Va – x = 0, Ousing three iterations of - Fixed-Point Iteration Method…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Compute for a real root of 2 cos x – sin vx = i accurate to 4 significant figures using Fixed-Point…

A: 2cosx3-sinx=14  compute for a real root of equation using fixed point iteration method with an…

Q: 2- Find the positive root of f(x) = xe"- cos(x) with an error tolerance =0.005% by using the secant…

A: Using a graph, it can be found out whether a function has solutions if the graph cuts the x-axis at…

Q: Solve for 0 <x< 2n. 4sin'x - sinx = 0 %3D

A: Solution of trigonometric equation

Q: Use the simple iteration method to determine the root of Equation f (x) = x² + 10 cos x = 0 at…

A: Given equation:  f(x)=x2+10 cos⁡ x = 0, at distances (0, 1). f(0) = 0 + 10 cos 0 = 10 f(1) = 1 + 10…

Q: Q No 4) Integrate S cosec³xdx . AND also Find F sin10xdx

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Q: Verify the integration formulas ∫sech x dx = tan-1 (sinh x) + C

A: To evaluate ∫sech x dx

Q: x2 sin 2x dx 2.1

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Q: Find a root of an equation f(x) = cos(x) - − using Newton Raphson method

A: Let us start solving the problem step by step  Given  Cos(x)-(x/6)=0 Let f(x)= cos(x)-(x/6) We will…

Q: Find a root of f (x) = 3x + sin(x) – ex = 0. Use 6 iterations to find the approximate value of x.

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Q: 2. Compute for a real root of Sin Vx – x = 0 using three iterations of Fixed-Point Iteration -…

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Q: 31. Verify the formulas sinh-x = In |x + Vx² + 1| coshx = In |x +Vx² – 1| (for x > 1)

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Q: Find the integration: J* 1+sin X 4 dX Cos 2X

A: Introduction: Suppose, fx is a continuous function on the interval a,b. There is another…

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

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Q: When two particles start at the origin with velocities v(t)=cost and u(t)=sin2t, how many times in…

A: We set the equations equal and solve for t

Q: Find a real root for x tan x+1 = 0 using Newton Raphson method.

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Q: Apply Newton-Raphson method to determine a root of the equation cosx- xe^x correct to three decimal…

A: Let us consider an eqaution f(x)=0 with the initial point x0 to determine the roots of the equation…

Q: Solve for x in the interval 0 < x < 2n. log (sin (x)) – log (cos (x)) = 0 a) x = 5,

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Q: Integrate with respect to x, the square root of (1-cos5x)/2

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Q: Compute for a real root of sin Va – x = 0 using three iterations of Fixed-Point Iteration Method…

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Q: Use variation of parameters to find the particular solution to y"+y' – 20y = - 3400 sin(3t) Y(t) = |…

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Q: (a) Determine f 2xe3*dx by using integration by parts. (b) Determine S cos(x²) 2x dx by using…

A: Given,  ∫2xe3xdx ; We have to integrate using integration by parts ∫cosx22xdx ; We have to…

Q: Find the solution of the DE using reduction Order (D2 + 4)y = sinx

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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: (2x sinh2 + 3y cosh?) dx – 3x cosh dy = 0 |

A: Concept Used: For  y'=f(x, y)   ...(*)If f(hx, hy)=hn f(x, y)Then (*) is homogenous equation of…

Q: Use integration by parts to find, x cos2x dx 프2

A: Consider the given integral which is required to solve using integration by parts.

Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: The value of function f(x) = sin x (1 + cos x) is maximum when x is equal to

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Q: Find the root using newton raphson method for f(x) = sin(x) − x²

A: Given function is f(x)=sin(x)-x2 From the given equation, it is clear that 0 is one of the root of…

Q: 2. Solve (sin y – 3x² + 5)dx + (y +x cos y)dy = 0. (Test for exactness and solve)

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Q: Use integration by parts to verify the reduction formula.

A: We have to verify the reduction formula using integration by parts, ∫cosn x dx=cosn-1 x sin…

Q: Obtain the positive root of the equation 3r -V1+ sin(x) by iteration method with 3 decimal places…

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: b) By using integration parts, show that ii. S(3x + 5) sin(2x + 3)dx = -÷(3x + 5) cos(2x +3) +sin(2x…

A: By using integration by parts, show that∫3x+5 sin2x+3 dx=-123x+5 cos2x+3+34 sin2x+3+C

Q: Calculate for one real root of tan x = 4x with xo = 1.2 up to four decimal places using the…

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

Q: Compute for a real root of 1 2 cos Vx – sin vx = accurate to 4 | 4 significant figures using…

A: 2cos(33)-sinx=14;   x0=π f(x)=2cos(33)-sinx-14 f(x)=0 ⇒2cos(33)-sinx-14=0 x=cos-11214+sinx3=ϕ(x);…

Q: Differentiate implicitly for the equation for x^2y+x^3-cos(x)=3y^2

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Q: Ssin(3x) sin(7x) dx

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

A: Consider the provided equation, sinh2z=-1 Find all solution of z. Apply the trigonometric…