3 Solve the following equations by Laplace transforms. (c) - 7x+ 12x = 2 given that at t = 0, x 1 and i = 5 given that at t 0, x 1 and i= 0. (d) i- 2i +x = te

Q: For each of followuing equations. is it PDE? IS it linear or nonlinegr ? What is their orden ODE OY…

A:

Q: Using Laplace transform, solve the following simultaneous equations: y₁+3y1 - y2 u(t-1)et, Yo…

A: We solve given simultaneous equation by using Laplace transform.

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: s-1 5. Find the inverse Laplace transform: a -1

A:

Q: (iii) Find Laplace transform of the following using the properties of the transform: te-3t (iv)…

A:

Q: Consider the signal (et+2, t<-2 f(t) = {1, -2≤t <2 e²-t, t22 (a) Is the signal time-limited?…

A: a)we need to check if the signal exists for all values of t or if it is only defined over a specific…

Q: Use Laplace Transform to solve Ø(t) + 2 * cos(t−7)ø(7)dt = e¯¹ for ø(t). -t 0

A:

Q: b) -28 2s se s² +8s +32

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: 1 9s 8s +1 Find the inverse Laplace transform F(s)=- + (s +6)2 (s-4)² – 25 s -5s +6 Maximum file…

A:

Q: 2. e-4t sin (8t)

A:

Q: Find the 6 of the WOTL Deww signal f(t) = rect ( =) coswot) = rect (&)-/ (t -wat

A:

Q: Q3. Find the Z-transforms of (1) (n + 1)(n+2) (ii) a"b (a 0,b=0) (iii) e-3t cos2t

A: Since you have asked multiple questions, as per the Bartleby answering guidelines we are supposed to…

Q: Solve the ODE: xy"+2y'-xy Oby using the Frobenius method.

A: Given that ODE: xy''+2y'-xy=0                    .....1 We know that the solution to this ODE is:…

Q: 2 f (x) 3 х?е-25* sinh- x COS- X sin - х 3

A: laplace transform of given f(x) can't be calculated.

Q: Question 3 Find the Laplace Transform of e 2t cos3t + 5e 2t sin3t 15 + A s2+9 s2+9 s+17 B (s+2)²+9…

A: laplace transform

Q: Consider the ODE: (e2xy² - 2x) dx - (6y² - e²xy)dy = 0 a. Show that the ODE is exact. b. Solve the…

A:

Q: dz Use implicit differentiation to find dx In(x+z?)+yz+6x?=7 2(7x2+722+1) 2(3yz + 3x?yz + 2)…

A: We can solve these question using the properties of partial derivatives as below

Q: Find a general solution of the following ODE using Frobenius method. x(x-1)y" + (3x-1)y' + y = 0

A:

Q: (e²t) LE9+² +6t+73 L{ 5 cos (4+) } -4t L {ett sin (8t) 3

A: Given that the Laplace functions Le2tL9t2+6t+7L5cos4tLe-4tsin8t .

Q: evaluate r(g(1)) using the Chain Rule. dt r(1) = (4 sin 2r, 6 cos 21), g(1)=1²

A: Given: rt=4sin2t,6cos2t ,gt=t2

Q: PART 3. APPLICATION OF LAPLACE AND INVERSE TRANSFORM 2. Solve the ODE given by the equation y" y' =…

A:

Q: (0,3) C1:x² + y² = 9. (-3,0) C2 (3,0) Figure 1 Based on Figure 1 and given that F = y?i + (3xy +…

A: Greens theorem If D be the region enclosed by the curve C , Which is positively oriented, smooth,…

Q: Can there exist two solutions y1, 42: [-10, 10] R to the ODE y = V1+ sin (ry) %3D with yi(-10)…

A: The given differential equation is  y'=1+sin2xy On simplifying this, y'2=1+sin2xy. Hence the…

Q: B-2-14. Find the inverse Laplace transforms of the follow- ing functions: (b) F₂(s) = s(s² + 25w₁s +…

A: Introduction: The Laplace transformation is a very significant integral transformation that is…

Q: It is given as x(t)=2sinc(πt). By showing this sign on the time axis; a) Plot the Fourier transform…

A: Given - It is given as xt = 2sincπt To find - By showing this sign on the time axis; Plot the…

Q: Show that both R and R2 may be covered by countably many open balls.

A:

Q: Solve the Fourier Transform of the function using the different Fourier Transform properties and…

A:

Q: -77 dB- +20dB/dec -20dB/dec 10¹ 10² 10³ 104 W

A: A transfer function is a mathematical representation of the relationship between the input and…

Q: 3 Solve the following equations by Laplace transforms. dx (a) +3x%3D -24 given that x = 2 when t =D0…

A:

Q: -1 Q3-Solve using Laplace inverse (L 1-{4s-3 + 3 (s+4)2-5)

A:

Q: 2. Draw the waveform and solve the Fourier Transform G(f) of the given function. Express the answer…

A: Given

Q: d) Using the table of standard transforms, find the inverse Laplace transforms of the following…

A:

Q: f (t) = t?cos3t

A: