Take the Laplace transform of the following initial value
problem and solve for Y(s)=L{y(t)}: y′′−2y′−35y=S(t)y(0)=0,y′(0)=0
where...
Take the Laplace transform of the following initial value
problem and solve for Y(s)=L{y(t)}: y′′−2y′−35y=S(t)y(0)=0,y′(0)=0
where S is a periodic function defined by S(t)={1,0≤t<1 0,
1≤t<2, and S(t+2)=S(t) for all t≥0. Hint: : Use the formula for
the Laplace transform of a periodic function.
Y(s)=
1291) Determine the Inverse Laplace Transform of F(s)=(6s + 14)/(s^2+28s+452).
The answer is f(t)=A*exp(-alpha*t)*cos(w*t) + B*exp(-alpha*t)*sin(w*t)....
1291) Determine the Inverse Laplace Transform of F(s)=(6s + 14)/(s^2+28s+452).
The answer is f(t)=A*exp(-alpha*t)*cos(w*t) + B*exp(-alpha*t)*sin(w*t).
Answers are: A,B,alpha,w where w is in rad/sec and alpha in sec^-1. ans:4
1292) Determine the Inverse Laplace Transform of F(s)=(6s + 14)/(s^2+28s+452).
The answer is f(t)=Q*exp(-alpha*t)*sin(w*t+phi). Answers are:
A,alpha,w,phi where w is in rad/sec and phi is in rad ans:4
Please help me solve this.
Thanks
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C...
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C = {u, v, w},
Define f : A→B by f(p) = m, f(q) = k, f(r) = l, and f(s) = n, and
define g : B→C by g(k) = v, g(l) = w, g(m) = u, and g(n) = w. Also
define h : A→C by h = g ◦ f. (a) Write out the values of h. (b) Why
is it that...
1. Show that |z − w| ≤ |z − t| + |t − w| for all...
1. Show that |z − w| ≤ |z − t| + |t − w| for all z, w, t ∈
C.
2.Does every complex number have a multiplicative inverse?
Explain
3.Give a geometric interpretation of the expression |z − w|, z,
w ∈ C.
4.Give a lower bound for |z + w|. Show your result.
5.Explain how to compute the inverse of a nonzero complex number
z geometrically.
6.Explain how to compute the conjugate of a complex number z
geometrically....
Let W be an inner product space and v1,...,vn a basis of V. Show
that〈S, T...
Let W be an inner product space and v1,...,vn a basis of V. Show
that〈S, T 〉 = 〈Sv1, T v1〉 + . . . + 〈Svn, T vn〉
for S,T ∈ L(V,W) is an inner product on L(V,W).
Let S ∈ L(R^2) be given by S(x1, x2) = (x1 + x2, x2) and let I ∈
L(R^2) be the identity operator. Using the inner product defined in
problem 1 for the standard basis and the dot product, compute 〈S,...