Functional and variations.Block III,

Consider the functional

S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B

Show that if ?=S[y+eg]-S[y], then to second order in e,

?=1/2 e?_1^2¦?g^''/v(x^2+y^'') dx-1/8 e^2 ?_1^2¦??g^''?^2/(x^2+y'')^(3/2) dx??

#### Related Discussions:- Intergration

Consider the functional

S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B

Show that if ?=S[y+eg]-S[y], then to second order in e,

?=1/2 e?_1^2¦?g^''/v(x^2+y^'') dx-1/8 e^2 ?_1^2¦??g^''?^2/(x^2+y'')^(3/2) dx??

## Area of an ellipse, You know the experation for the area of a circle of rad...You know the experation for the area of a circle of radius R. It is Pi*R 2 . But what about the formula for the area of an ellipse of semi-minor axis of length A and semi-major |

## probability that they are both the same color, Consider two bags, A and B,...Consider two bags, A and B, with the following contents a) A single marble is drawn from each bag. What is the probability of getting a white marble out of Bag A and a red marb |

## Inverse of a matrix, Explain Inverse of a matrix, need assignment help.Explain Inverse of a matrix, need assignment help. |

## SYSTEMS OF ODE, Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear s...Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi |

## staticis, a statisics professor plans classes so carefully that the length...a statisics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes. find the probability that a given class pe |

## Find intervals while function is increasing or decreasing, Find out all int...Find out all intervals where the given function is increasing or decreasing. f ( x ) = - x 5 + 5/2 x 4 + 40/3 x 3 + 5 Solution To find out if the function is increasi |

## Circles, If the distances from origin of the centres of 3 circles x 2 +y 2 ...If the distances from origin of the centres of 3 circles x 2 +y 2 +2alphaix= a 2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+ |

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd