What technique should you use to solve the ODE that arises from the Euler's equation associated with the Lagrangian L(x, y, y') = (y/)² +(4+y )y?

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

A:

Q: Find g'(x) if g(x) = t² cos 6t dt %3D 2

A: We can apply fundamental theorem of calculus here.  The second fundamental theorem of calculus…

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

A:

Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

A: As per policy only first question is answered. Please refer to the image below

Q: e" sin°(2x) (d) y = In 2x2 + 1

A:

Q: 4. The equation (x – y)² = x + y – 2 defines a function y = f(x) in a neighborhood of (1,2). Use…

A:

Q: 8. Find y'if y = x³ +sin (x)

A:

Q: 8) Given the function y =x – 3x+1 dy Find the derivative, dx

A: Solve by derivative of given function

Q: If g(x) = | cos' t dt , then determine g'(x). %3D

A:

Q: 3. Use logarithmic differentiation to find y'; and simplify the result to a "single fraction". x2…

A: