Find Laplace transform of 50x''(t)+ 100x'(t) + 60x(t) = 0, x'(0)=0, x(0)=0
Find Laplace transform of 50x''(t)+ 100x'(t) + 60x(t) = 0, x'(0)=0, x(0)=0
Find the Laplace transform of f(t)=∫ 0 t τsin(2τ) dτ F(s)= Find the Laplace transform of f(t) = Tsin(27) dt F() =
Find Laplace transform of ?(?) = 2 + 5? Find Laplace transform of ?(?) = 2?-t + 3??-4t Find time function corresponding to this Laplace transform: ?(?) = (2s2+s+1)/(s3-1) Solve this ODE using Laplace transform : ?̈(?)+2?̇(?)+4?(?)=0; ?(0)=1, ?̇(0)=2 Solve this ODE using the Laplace transform : ?̈(?)−2?̇(?)+3?(?)=0; ?(0)=2, ?̇(0)=1
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
(4) Find the Laplace transform of this function: Set if 0 <t <2, 0 if 2 <t.
Determine the Laplace transform of x(t) = t2 u(t – 1) (b) Use Laplace transform to solve the following differential equation for t ≥ 0. ? 2?(?) ?? 2 + 3 ??(?) ?? + 2?(?) = (? −? ????)?(?); ?(0) = 1; ??(0) ?? = −3
Find the Laplace transform of the function f(t). f(t) = sin 3t if 0 <t< < 41; f(t) = 0 ift> 41 5) Click the icon to view a short table of Laplace transforms. F(s) = 0
Find the Laplace Transform of f(t)=0 if t<1: f(t) = t if 13t<2; f(t) = 0 ift> 2.
A signal x(t) has the following Laplace transform X(s)= 2s+4 $2+45+5 Get x(t) (inverse Laplace Transform) (assume x(t)=0 for t<0) Answer:
Find the Laplace Transform of f(t)=0 if t< 1; f(t) = t if 1sts 2; f(t)=0 if t> 2.
2. Solve for u(x,t) using Laplace transform (13.5.5) a(x,0) /ar f(x). = 2. Solve for u(x,t) using Laplace transform (13.5.5) a(x,0) /ar f(x). =