y'e y sin(x) + tanh(y) y' +y" = 2x²y y" = 7/ y": = 2x²yy' + 2xy² + 3 = 0 xy' = (-5y + x) sin(y/x) rủng" =5y y" = 5+y 5y' = x - e¹y yety Choose... Choose... 1st-order nonlinear ODE Scale-invariant ODE 1st-order Exact ODE None of the above forms 2nd-order linear homogeneous ODE 2nd-order Euler-type ODE 1st-order linear ODE 2nd-order linear inhomogeneous ODE Choose... Choose... Choose... Choose... −2+y'xe²y + 2y = 0 Choose... " O O 4 O

Q: Find y' for the following y= (cosx)* %3D

A: Given: y=(cosx)x

Q: y' + y tan x sin x cos With y(4) = 0

A:

Q: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

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A:

Q: CORRECT to find y'(x). d d v'(x) = (In 2z) x (sin u) y'(x) de dx ..... .... .... d y'(x) = sin- dr d…

A: We have to choose the correct answer from the given options according to the given information

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

A:

Q: y' : x² + y² sin x

A: We know thatExistence and uniqueness theorem: If f is continuous on an open rectanglethat contains…

Q: arctan( sine*

A: Given that, y=tan-1sinex Then we get, y'=dydx=excosex1+sin2ex

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A:

Q: x cos'(y)dx + tan y dy = 0, y(4) = 7 2. X COS

A:

Q: Directions: Choose the letter of the correct answer. Write the letter that corresponds to the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 8. Find y'if y = x³ +sin (x)

A:

Q: find y'. (show all the steps please) cos(xy) = x-y^2

A:

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: Y'-(cosx) y=cosx.  Y(0)=1

A:

Q: y = csc (x’ + 10x), Find dy/dx O (7x6 + 10) csc (x7 + 10x) cot (x7 + 10x)

A: Given: y=cscx7+10x

Q: Find dy/dx if y = (*+*) А. 1 В. 2х + 2 D. 1/x C. 2x + 4 csc(2b) sec(2b) Find da/db if a A. 2sec (2b)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

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Q: The derivative of y = 3cos(8x+6) is: 1. y' = 24 sin (8x+6) 2. y' = -24 sin (8x+6) 3. y' = -24 cos…

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Q: y = π/2 sinx y' =

A:

Q: 7. Find y'if y=x³+ sin (x)

A: given

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A: topic - derivatives

Q: Y= (X+SinCe)? Find a(x) and fG) y=foq> (x) 3. (fog)'= %3D X+Sin(x) gcx) at y ' ( x)) X+ Sin (x. %3D…

A: (fog)(x)= f(g(x)) So, f is the outer function and g(x) is the inner function.

Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

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 +…

A: