Use the transforms of some basic functions to find Xif(t). (Write your answer as a function...
Use the inverse transforms of some basic functions to find the given inverse transform. (Write your answer as a function of t.) is + 1)3
4. +2 points BoyceDiffEQBr10 6.2.005 Find the inverse Laplace transform of the given function. (Express your answer in terms of t.) ()2 2 F(s) s2 + 2s 26 Additional Materials 単eBook Submit Answer Save Progress Practice Another Version
-16 points 17. Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write u for the Heaviside function that turns on at cnot u(t y"36y = e-2u y(0) 0 y'(O) = 0 Y(s) y(t) Submit Answer Save Progress Practice Another Version -16 points 17. Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write u for the Heaviside function that...
Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) ℒ−1 1/(s^2 + s − 56) Some Inverse Transforms (a) 1 = L-1 (b) " = L-1 1 n = 1, 2, 3, ... (c) eat = L-1 L-1 (d) sin kt = L-1 k 92 + k? (e) cos kt = L- 52 + k ****] ) S (f) sinh kt = ! k 92 – k (g)...
10. /1 points Zill DiffEQModAp11 7.3.057 Write the function in terms of unit step functions. Find the Laplace transform of the given function. t2 F(s) - Need Help? Read It Talk to a Tutor Submit Answer Save Progress 11. -/1 points ZillDiffEQModAp11 7.3.059 Write the function in terms of unit step functions. Find the Laplace transform of the given function. 0, t2 9 F(s) Need Help? Read It Talk to a Tutor
Find the Laplace transforms of the following functions: a) f(t) = sin(at + b) Using the integral of the Laplace transform b) f(t) = cos(t) + sin(t/2) You can directly use table 5.1 Tableau 5.1 Transformées de Laplace les plus couramment utilisées f(t)= £. {F()} F(s)= £{f(t)} f(t)=1 F(s) = 2 f(t)=1 F(s) == 2 3 Sl)=12 F(s) n! 4 St=1" F(s)=- 5 () at F(s)- S-a n! 6 S()=1"ar F($)= (s-a)"+1 a 7 s(t)= sin(at) F(s) s? +a? S...
1. Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function; Ae-atu(t); Be atu(t). 2. Determine the Laplace transform of f(t) = 50cos ot u(t). 3. Obtain the Laplace transform of f(t) = (cos (2t) + e 41) u(t). 4. Find the Laplace transform of u(t-2). 5. Find vo(t) in the circuit shown below, assuming zero initial conditions. IH F + 10u(i) 42 v. (1)
what is the answer for domain and range? Evaluate the function at the given value(s) of the independent variable. 3x + 2,x <0 3x + 6, x 2 0 f(x)- (b) o)6 f(2)=112 (c) Find the domain and range. (Enter your answers using interval notation domain range Need Help? 1mReaditenǐTalktont1 Submit Answer Save Progress Practice Another Version ) Tvpe here to search Evaluate the function at the given value(s) of the independent variable. 3x + 2,x
Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 282 - 4 sin(56) L{f(t)}
Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (2t - 1)3 %3D L{f(t)} =