Given z(x, y) =In(2xy) where x(u,v)= e" cos(4v) and y(u,v)=e" sin(4v). Find ди 1 cos (4r)+-sin(4v) -6 ........ .. .......... -cos(4v)+ -sin (4r) 27°C
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A: Here I am attaching image so that you understand each and every step.
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A: A detailed solution is given below.
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- If x*y" + xy' + (x? -)y=D x >0 ,V1=x 2sinx and y = y,v. Which of the following equations satisfied by v Select one: a. (x 2 sinx)v" + (2x 2 cosx)v' = 0 b. (x 2sinx)v" +(2x 2 cosx)v=0 C. (x2sinx)v" + (2x cosx – xsinx + x2 sinx)v' = 0 cosx - x 2 sinx + x 2 sinx)v' = 0 d. (x 2 sinx)v" +(2x2 cosx)v' =0what is y' of y=sin-1(cos x)Q1) Show that: (a) (1+x)° =1+6x (b) (cosx) = -sinx dx
- Determine the Laplace transforms of the following functions:Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' = 2sin(a)cos(a)+74sin(a) Ob. y' = -2sin(a)cos(a)-74sin(a) O c. y' = -sin(a)cos(a)-74.00cos(a) O d. none of the choices! O e. y' = -2sin(a)cos(a)+37cos(a)The y' of the given function is 2 y = (1 – 2 sin? 4x)