Q82·Section II (Mathematics)·82 of 190An isoperimetric-free extremal problem — when the boundary data becomes inconsistentThe extremal problem J[y(x)]=∫0π(y′2−y2)dx,y(0)=1, y(π)=λJ[y(x)]=\int_0^\pi(y'^2-y^2)dx, y(0)=1,\ y(\pi)=\lambdaJ[y(x)]=∫0π(y′2−y2)dx,y(0)=1, y(π)=λ has: OptionsAa unique extremal if λ=1\lambda=1λ=1Binfinitely many extremals if λ=1\lambda=1λ=1Ca unique extremal if λ=−1\lambda=-1λ=−1Dinfinitely many extremals if λ=−1\lambda=-1λ=−1Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q81All questionsQ83 →Keyboard: A–D answer · S solution · ←/→ previous/next