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' at the point (6, 6) where x sin(x? – y²) + 33 = x? – 3.

A:

Q: Find y' and y". y - In(x + VB+ x²) / 8 + x² 1 y' = V 8 +x2 y" II

A: Given: y=lnx+8+x2

Q: Find y' and y". In(7x) y = x7 y' = y" %3D

A: The given function is: y=ln(7x)x7 Therefore, y'=1x7ddx(ln(7x))+ln(7x)ddx1x7    =1x717x·7+ln(7x)-7x8…

Q: 1. Find y' by implicit differėntiation. xy + 4x + 5x² = 3 %3D Select the correct answer: a. y':…

A: In implicit differentiation write y' interns of x & y.

Q: Find y' if sinx + cos(siny) = Vcosx + sinx + cosx *

A:

Q: 8. Find y'if y = x³ +sin (x)

A:

Q: y =5 tan-(Vx) 2

A:

Q: Longest interval for (t+2)y’’-(sint)y’+ty/t-4=e^2t/t y(-1)=0

A:

Q: Find y' if y= is-2x(+)* +

A:

Q: 7. Find y' for y = (sinx)*.

A: The given function is y=(sin x)x. Rewrite the given function as follows.

Q: 7. Find y'if y=x³+ sin (x)

A: given

Q: Find y' if y=Cos (sinx)

A:

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…