Suppose y(x) is the extremal of the variational problem J(y)=int0^1((y')^2sin x+(2cos x)y)dx subject to y(0)=0, y(1)=1. Then which of the following statements are true?

Q99Section C (Part C)99 of 120

Calculus of variations — an extremal that is a straight line

Suppose $y(x)$ is the extremal of the variational problem $J(y)=\int_0^1\left((y')^2\sin x+(2\cos x)y\right)\mathrm{d}x$ subject to $y(0)=0$ , $y(1)=1$ . Then which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next