SOLVE THE NHLDECC USING UNDETERMINED COEFFICIENT (D² + 1)y = cos(x) ANSWER: y = C1 cos(x) + C2 sin(x) + '2 x sin(x)

Q: s sin(3x) + cos(5x) – sin sin)ax |dx

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: O. p. S sin 2x cos 3x dx 3dx /1 + 9x²

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Q: 6. Solve cos.xdx +|1+= sin x dy = 0 y

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Q: Solve the DE: (cos y- cos x)y' +cos y sin 2x=0

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Q: 18) e2x = sin(x + 3y)

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Q: Differentiate y= e*cos (x²): y = A e(cos(x?) – 2xsin(x?)) B -2xe"sin(x?) (c) e*cos(x²) – 2 xsin(x²)…

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: y = c, e2* cos 3x+C, e²* sin 3x

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Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

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Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: (-tanx) ydx + Inlexy cos x| dy = 0

A: We need to find out the general solution of the given differential equation.

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

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Q: Determine the General Solution of sin x sin y dx + cos x cos y dy = 0.

A: Given differential equation is sin x sin y dx+cos x cos y dy=0

Q: determine the annihilator of the givenfunction. F(x) = sin x cos3 x.

A: We have to determine the annihilator of the function: Fx=sinxcos3x Annihilator is the set of linear…

Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: (a) / sin sin(8x) + cos(7.x) dx (b) / (3x – 5 sin dx 2 (c) / cos(3t) + sin(5t) dt

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Q: 2x cos x? dx 1+ sin² x² 8

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Q: 3e" + 3x + 10 cos x + 2)dx .2

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Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: Find the solution of the equation = e Cos y which tends to zero as x - 0o and has the value cos y…

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Q: 2 X 1 t3 COS 4- x² dx 2 -2

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Q: f(x)=X +Sin -1 く(-2)- 4-て+Sini-て)-\no9651 3(x)=てメ+ cosx ずし-て) ニ -4ACOS(-て)-3 (x)-2-らinx f(-2):…

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Q: 8) Determine the smallest positive roet of the equation - 0.0i t sin (0.573t) -e

A: To determine the smallest root of the given of the function we will use Newton-Rapson method with…

Q: Eliminate the arbitrary constant ln y = c, sin 3x + c2 cos 3x + 9x^2 -2

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Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: 4. Find the solution of the equation = e * cos y dy? which tends to zero as x → 0o and has the value…

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Q: 3. fe2x+Inx² sin x² dx = = 2x -+√e²x cos x² dx

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Q: y = sin(3x) + cos(0.5x)

A: Given: y=sin(3*x)+cos(0.5*x) We have to determine the value of y,where x varies from 0 to 2pi in an…

Q: Find the solution of the equation cos y which tends to zero as x- 0o and has the value cos y when x…

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Q: 1. Consider 3x + sin x – e* = 0, using Secant Method with initial points xo = 0 and x1 = 1,…

A: The given equation is; 3x+sinx-ex=0.

Q: 1 dx 3 sin x+4 cos x+3

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Q: 2) x³y? = 2x + 2y3 3) y = sin?(x) – cos³(2x) + 2 www. .

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Q: Find the solution of the equation Cos y which tends to zero as x - 0o and has the value cos y when x…

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Q: 1. / cos" (2t) sin² (2t) dt

A: 1.

Q: 11. sin(x) + cos(y) = ey

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Q: у" + 4y' + Зу %3D sin (e*)

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Q: 18. S sin xdx 2-cos² X

A: The given integral is: I=∫sinx2-cos2xdx    ...1 As we know the common integral; ∫11-x2dx=sin-1x+C

Q: Find the general solution of the equation cos x cos y dy – sin x sin y dx = 0

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Q: 1 S (4x4 – e3* + cos(2x) – + 5* ) dx - x-1

A: First you need to go through the formula of calculus. Specially go through the details of the…

Q: solve the nonhomogenous equation y''' - 6y' = -cos(x)

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Q: 4) e (). – | T|x² – 4| CoS - 2 2x sin sin² ( T|x² 19 dx 2 -3

A: Integrate

Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: y = cos 3x a. 3 sin 3x b. - sin 3x c. sin 3x d. -3 sin 3x с.

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: E valuate dx 7-3 Sin X +6 Cos X

A: solution.

Q: (b) Determine cos(x²) 2x dx by using substitution method.

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