y'(0)= 0, y(0). = -1, 23. y"+ 4y g(t) where St. 15. t<2, g(t) t >2...
ſi, if 0 St<T, y" + 4y = 10, if a St< 0. y(0) = 0, y(0) = 0. 9
Please help me with c.
(1 point) Consider the initial value problem y" 4y g(t), y(0) 0, y(0) = 0, if 0<t4 where g(t) if 4too a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transfom of y(t) by Y (8). Do not move any terms from one side of the equation to the other (until you get to part (b) below). ... s 2Y(s)+4Y(s) (e(-4s)-s)(4+1/s)+1/ s^2...
Solve y'' + 4y = $(t – 6), y(0) = y'(0) = 0 g(t) = for t < 6 fort > 6
2y + y + 2y = g(t), (O) = 0, y'(0) = 0 where g) 5 St<20 10, 0<t<5 and t > 20
The solution of the initial value problem y" + 4y = g(t); y(0) = -1, y'(0) = 4 is ОВ. cos 2t y = į SÓ 9(T) sin 2(t – 7)dt + 2 sin 2t – cos 2t y = {G(s) sin 2t + 2 sin 2t y = So 9(7) sin 2(t – 7)dt + 2 sin 2t – į cos 2t y = £g(t) sin 2t + 2 sin 2t – } oc OD COS 2t OE y...
find laplace transform
f(t) = {0, 0 st < 2 t2-1 t2 2
f(t) = {0, 0 st
Laplace transform of the unit step function
y" + 4y = ſi, if 0 <t<, y(0) = 0, y'(0) = 0. 10, if a St<oo.'
Question 2 > Solve y' + 4y' + 8y = 0, y(0) = 1, y'(0) = 6 g(t) = The behavior of the solutions are: O Steady oscillation O Oscillating with decreasing amplitude O Oscillating with increasing amplitude
Question 2 < > Solve y"' + 4y' + 8y = 0, y(0) = 1, y'(0) = 6 g(t) = The behavior of the solutions are: O Steady oscillation O Oscillating with decreasing amplitude o Oscillating with increasing amplitude
Problem 1 Solve y + 4y 1, if 0<t<T, y(0) = 0, y'() = 0. if <t<oo.'