Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. @ y(x) = c,e=2'+cge¯ -cosr+ -sinx 2 2 B y(x) = c,+c,e+coshx -sinhx 2 y(x) = c, +c,e¯*+-cosr -sinr 2 2 O y(x) = c,e+c,e - sinx

Q: Find y' if y=sin-¹4x³. Oy'= 1 √1-16x6 Oy'=-- Oy': 1 √1-16x6 Oy'=- 12x² √1-16x6 12x² √1-16x6

A: Given thaty = We find y'.

Q: If f(x) = cos(x) +3z³, what is f'(æ)? O f'(x) = sin(x) +3z³ O f'(x) = sin(x)+ 9x² O f'(x) =…

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Q: Find y'' if y = 6x sin x. A. y' = 6 cos x - 12x sinx B. y'= - 12 cos x + 6x sin x C. y' = 12 cos x -…

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Q: Find y'' if y=-6 cos x. OA. y' = 6 sin x OB. y' = 6 cos x OC. y'= -6 cos x OD. y'= -6 sin x

A: The function is given byTo determine: The expression of the second derivative of the function.Formul…

Q: Find w, where w3 = 1 + i. i? = -1.

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Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: Use var of par to find a particular solution yp of ( 1² - ²1 ) y = t t₂ t² (y") + t (y') + t²

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Q: Solve 2(cos2x)y' + ysin(2x) = 4cos4x 0 =< x < pi/2

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Q: If f(x) = 7cos(x), what is f'(x) ?

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Q: y'' - 15y' + 60y = e^x cos(16x

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Q: If f(x) = e2" [sin(=)]°, what is f'(x)?

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Q: Find y'' if y = 2x sin x. O O O A. y'' = 4 cos x - 2x sin x B. y'' = - 2x sin x OC. y'= - 4 cos x +…

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Q: 5 Find *: (a) y = cos(11x + 2x) dy

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Q: y''' + y'' = cos(2t) y(0) = 1, y'(0) = 2, y''(0) = 3

A: See the details solution in below

Q: Can we write the general solution of the equation y" + (1/x)y' + (1-1/4x^2)y=0 (x#0) for its two…

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Q: y'' - 6y' + 6y = e^x cos(2x)

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