the boundary value problem: $u''(x)+\\lambda u(x)=0,x\\in (0,1),
2015年1月24日 · $\begingroup$ if $\lambda < 0,$ you will not be able to satisfy the periodic boundary condition because the solutions in the case of $\lambda < 0$ is either increasing or decreasing. $\endgroup$ – abel
$-u''+u=\\delta_y$ where $u(0)=u(1)=0$ - Mathematics Stack …
2015年12月7日 · $\begingroup$ Suggestion: solve it on $(0,y)$ and $(y,1)$ separately (each solution will involve one free parameter).
Prove $U^0\\cap W^0=(U+W)^0$ - Mathematics Stack Exchange
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$(U\\cap W)^0 = U^0 + W^0$ - Mathematics Stack Exchange
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
linear algebra - Proving that the zero vector is unique
2017年10月5日 · According to the definition of zero vector, u + 0 = 0 + u = u, ∀ u ∈ V on the contrary, let 0' be another zero vector and 0'∈V such that u + 0' = 0' + u = u, ∀ u ∈ V. Consider 0+0' since 0 is zero vector of V, u + 0 = 0 + u = u, ∀ u ∈ V taking u = 0', 0+0' = 0' (i) 0' is also a zero vector of V according to our assumption.
Notation inconsistency? Standard uniform distribution U (0,1)
The 0 means that the distribution has mean zero, and the 1 tells that the variance is one. However, for ...
Heat equation $u_t=u_{xx},u_x(t,0)=0,u(0,x)=e^{-x^2}$
2018年8月28日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
functional analysis - Why is $u'(0)=0$ in this argument?
2023年11月5日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Dimension of Annihilator: $\\text{dim} \\, U^0 + \\text{dim} \\, U ...
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According to Newton’s law of cooling, the temperature u(t ) of an ...
where T is the constant ambient temperature and k is a positive constant. Suppose thatthe initial temperature of the object is u(0)= u0. (a) Find the temperature of the object at any time. (I know how to resolve this) b) Let τ be the time at which the initial temperature difference u0 − T has been reduced by half. Find the relation between k ...