Verify if the indicated equation is an explicit or implicit solution of the given DE y = In sin(x+ G) + c, ; y" + (y) +1 = 0 %3D

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

Q: The y' of the given function is (1–2 sin? 4x) y

A:

Q: (5) If y = sin(3x) the find y"

A: We have given trigonometric equation  y=sin3x y'=dydx y'=ddxsin3x y'=cos3x·ddx3x y'=3cos3x…

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: Find the third derivative of y3= A 1/2 B -5/2 15 D -1 8

A:

Q: The derivatives of sin- 1 x and cos- 1 x are negatives of each other.

A: From the question it's not clear, what do you want us to do with it. I assume that you want to know…

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

A:

Q: Solve the following Clairaut equation   y=xy'+(y')^2

A: Firstly we will differentiate this equation to get simpler differential equation

Q: The first derivative of y = sin( 4x + 3) is %3D а. - 4 cos(4x +3) b. 4 cos(4x +3) С. cos(4x+3) d. -…

A:

Q: Use the method of undetermined coefficients to solve y" – 2y' + y = 5 cos(2x) + 10 sin(2x)

A: Solve the differential equation y"-2y'+y=5cos2x+10sin2x using the undetermined coefficients .

Q: f(x) = cos3(4x-1) Differentiate the equation

A: Given that: f(x)=cos3(4x-1)

Q: A manager at the Black Box microprocessor manufacturing company finds through data gathered in…

A: we need to find the cost function and fixed costs.

Q: y = cos((TX)5)

A: Please see the white board.

Q: y = x tan(x+C) eliminate the arbitrary constant

A:

Q: Q8// find the general solution (tan-'x + (cotx)y)dx + (lnsinx)dy = 0

A: The differential equation is given as (tan-1x+(cotx)y)dx+(ln sinx)dy=0 Compare it with Mdx+Ndy=0…

Q: If r = sec(0), then dr = 1² - 1

A: Given information: x=secθ The derivative of the given information, dx=secθtanθdθ

Q: Solve the first and second derivative of y = cosh2x+ sinhx

A: