d. y' - y = 2cos x with y(π) = 0 Yo (x) = et Yp (x) = e(-cos(x) + sin(x)) + C y (x) = -cos(x) + sin(x) + C.et

Q: 12 3. (sin x)y' +y cos r = r sin a,

A:

Q: Find y' if y= cos (X-1) X-1

A:

Q: 5 Find y' if cos (Xty) =

A:

Q: Find f. f"(x) = cos(x), f(0) = 6, f'(0) = 4, f"(0) = 9 f(x) =

A: We can find the value of f(x) as below.

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

A:

Q: Find f. f "(x) = 7 + cos(x), f(0) = -1, f(71/2) = 0 %3D %3D

A:

Q: e" sin°(2x) (d) y = In 2x2 + 1

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Q: If y = -cos(2t), then y(5)= ?

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Q: 8. Find y'if y = x³ +sin (x)

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Q: Find f. f"(x) = 5 + cos(x), f(0) = -1, f(9π/2) = 0

A:

Q: Find g'(x) given that g(x) = x° cos(Tx) os (πα)

A: Given,  g(x)=x3cos(πx)

Q: let y=[cos(2x-π)]3 Find y' at x=(π/6)

A: Compute the derivative as follows.

Q: // (cos (a? + y³)dA where D: {(x, y) | 4 < x² + y² < 49} Find

A:

Q: (1+x)y' + y = cosx; y(0) = 1

A:

Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.