Solve the IVP using laplace transformation
y”+3y=(t-2)u(t-1)
y(0)=-1
y’(0)=2
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
Solve the IVP usiag laplace transformahbn 3y (t-2) u (t-1) (0) 2 yo)-1
solve the IVP using the Laplace approach
* +0.2 x = cos(4 t), x(0) = 1
Solution steps plz
k=0 x"+x=Ž8(t-2k1) 1. Solve the IVP x(0)=0, x'(0) = 0 and discuss the behavior of the oscillator's amplitude when t → 00.
(1 point) Solve the IVP dx-[-8 21x, x(0) dt x(t) Note: You can earn partial credit on this problem
(1 point) Solve the IVP dx-[-8 21x, x(0) dt x(t) Note: You can earn partial credit on this problem
"Use la place transform to solve Y"-5y'-by = U (+-1) given IVP Y(0)=0 Y'(O) = 1
1. Use a Fourier series to solve the IVP IMG 9174.JPG 3,024x 4,032 IC u(x, 0) = |x-1/2], 0 < x < 1 BC 14(0,1) = 0 = ur(1,1), t E R+ If we consider the resulting Fourier series as a function on the whole x- axis what kind of function is it? IMG 9179 IPG
1. Use a Fourier series to solve the IVP IMG 9174.JPG 3,024x 4,032 IC u(x, 0) = |x-1/2], 0
Solve the IVP y' + y = f(t), y(0) = 0, where f is the 27-periodic function given by f(t) -1, 0<t<T, <t<21, f(t) = f(t + 27).
pls do all questions.
thanx
1. [5 Consider the IVP rty(t) + 2 sin(t)y(t) = tan(t) y(5)=2 Does a unique solution of the IVP exist? Do not solve the IVP but fully justify you answer. What is the IOE? 2. 4 Consider the ODE Using undetermined coefficients, what is an approprite guess for the coefficient (s) in yp but fully justify you answer. ? Do not solve for 3. [10] Solve the IVP. Use any approach you like y(x) 6y'(x)...
use laplace transforms to solve ivp x" + 2x' - 15x = 6delta(t -9), x(0) = -5, x'(0) = 7
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Solve the IVP 2 [:] = [3 =:] [:] []=[3] ņ Find e At where 2 5 A = -2 -4 Solve the IVP (21-1 -3) M (O)-() x(0) I g(0)