What is the Euler equation associated with the Lagrangian L(x, y, y' , y") = 2x(y/")² – y²? O y+ 2y" + xy" = 0 O none of these answers O -y+4y" + 2xy" = 0 O y+ 4y" + 2xy" = 0 O -y+ 2y" + xy" = 0 O more than one of these answers

Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: - y" – 2y" + y' = 2 – 24e* + 40e, y'(0) = }, y"(0) = - y(0) = ;, 9. 2

A:

Q: y" +2y' = 3+ 4 sin(2t)

A:

Q: Are these equation separable 1.s2+ds/dt = (s+1)/st 2.dr= b(cosx dr+ rsinxdx) 3.y'=ye(x+y)/(x2+2)

A: The objective of the problem is to determine whether the given equations are separable. A…

Q: y" +2y+3y= sint + 8(t-3л); y(0) = 0, y'(0) = 0

A:

Q: 3.) dx + e dy = 0

A: The objective is to find the solution of the differential equation.