Explore Laplace Transform Equations

Which expression is equivalent to $- (p - q)$ ?
a) $q - p$
b) $p + q$
c) $- p - q$
d) $p - q$

Deragz 2021-12-10

I have a Laplace Transform problem which Im

Jean Blumer 2021-12-09

Using the Laplace Transform Table in the textbook and Laplace Transform Properties,find the (unilateral) Laplace Transforms of the following functions:
$u (t) - u (t - 1)$

Marla Payton 2021-12-08

How to find the Laplace transform of $\frac{1 - \cos (t)}{t^{2}}$ ?
F(S)=?

diferira7c 2021-12-08

Show that
$\int_{0}^{\infty} \frac{\sin (t)}{t} d t = \frac{π}{2}$
by using Laplace Transform method. I know that
$L {\sin (t)} = \int_{0}^{\infty} e^{- s t} \sin (t) d t = \frac{1}{s^{2} + 1}$

hvacwk 2021-12-08

How do I find the inverse Laplace transform of ${\frac{4 s}{s^{2} + 4}}^{2}$ ?

Lucille Davidson 2021-12-08

Let
$\hat{F} = L (f (t))$
be the Laplace transform of f(t). Show that:
$L (f (a t)) = \frac{1}{a} \hat{F} (\frac{s}{a})$

evrimesa 2021-12-07

Take the Laplace transform of the following initial value and solve for Y(s)=L{y(t)}:

sin(π t), 0 ≤ t <1

y''+9y= { y(0)=0, y′(0)=0

0, 1 ≤ t

a) Y(s)= ? (Hint: write the right hand side in terms of the Heaviside function)

b) Now find the inverse transform to find y(t)= ? . (Use step(t-c) for uc(t) .)

Note= π/ (s^2+π^2)(s^2+9) = π/ π^2 -9 (1/(s^2+9) - 1/(s^2+ π^2)

Ronnie Baur 2021-11-23

Id

Lloyd Allen 2021-11-20

Calculate. $\frac{d (2 x^{5})}{d x}$

kiki195ms 2021-11-19

The identity
$\sum_{k = 0}^{\infty} a^{k} \cos (k x) = \frac{1 - a \cos x}{1 - 2 a \cos x + a^{2}}, | a | < 1$
can be derived by using the fact that $\sum_{k = 0}^{\infty} a^{k} \cos (k x) = R e \sum_{k = 0}^{\infty} {(a e^{i x})}^{k}$
But can it be derived without using complex variables?

Aufopferaq 2021-11-19

Differentiate.
$y = x \cos^{- 1} x$

wurmiana6d 2021-11-18

If $y = {(\frac{x}{x + 1})}^{5}$ , then $\frac{d y}{d x} =$

alka8q7 2021-11-17

Compute $Δ y$ and dy for the given values of x and
$d x = △ x$
$y = x^{2} - 5 x, x = 4, △ x = 0.5$

tapetivk 2021-11-17

Determine the values of r or which the given differential equation has solutions of the form $y = e^{r t}, y^{″} - 3 y^{″} + 2 y^{'} = 0$

atodion23 2021-11-17

Determine the Laplace transforms of these functions:
$a) f (t) = (t - 4) u (t - 2)$
$b) g (t) = 2 e^{- 4 t} u (t - 1)$

Antinazius 2021-11-17

Find y" by implicit differentiation.
$x^{2} + 4 y^{2} = 4$

f480forever2rz 2021-11-16

Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.
$u (- 9, 6) = - 6 v (- 9, 6) = - 4$
$u_{s} (- 9, 6) = 7 v_{t} (- 9, 6) = 5$
$u_{t} (- 9, 6) = 7 v_{t} (- 9, 6) = - 5$
$F_{u} (- 6, 4) = 2 F_{v} (- 6, - 4) = 4$
Find $W_{s} (- 9, 6)$ and $W_{t} (- 9, 6)$

kolonelyf4 2021-11-16

Solve the given differential equation by variation of parameters.
$y - y = cosh x$

jack89515lg 2021-11-16

The equation states what velocity there is in a particular flow field
$V = x \hat{i} + x^{2} z \hat{j} + y z \hat{k}$
Find the formulas for the three rectangular acceleration components.

If you came across the necessity of Laplace transform, it is most likely that you are coming from a mechanical engineering or electrical background. The concept is used to solve differential equations, which is why it is vital to consider Laplace transform examples as you are looking through the questions and connect the dots as the equations are being approached. Remember to look through our list of answers as these will help you to address various Laplace transform problems and find solutions to complex Laplace transform questions as you are dealing with your Laplace transform equation homework.

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