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3 votes
3 answers
554 views

Using inverse Laplace transform to solve differential equation

3 votes
3 answers
954 views

Partial derivative of $e^{x^2 + 2y^2 + 3z^2}$

3 votes
1 answer
64 views

Solving $(x^2 + 1) dy + 4 xy dx = x dx$ using separable variable method and integrating factor method

2 votes
1 answer
78 views

Application of chain rule for partial derivatives

1 vote
3 answers
3k views

Find Laplace transform of $(sin^2 2t)$ [closed]

1 vote
3 answers
630 views

Partial fraction of $\frac{2s+12}{ (s^2 + 5s + 6)(s+1)} $ then inverse transform it

1 vote
2 answers
104 views

why do I have to double an exponential growth and half an exponential decay function to find out how fast/slow the process is?

1 vote
3 answers
476 views

Finding the particular solution of $T(t) = T_a + Ce^{-kt}$

1 vote
2 answers
453 views

show that $kT_{\text{halftime}} = \ln 2$ with a differential equation

1 vote
1 answer
49 views

Geometric progression question

1 vote
2 answers
282 views

Partial fractions - Solve the differential equation $y’’ + 2y’ + 5y = \sin 2t$ using Laplace transform when $y=0$ and $y’ = 0$ when $t=0$

1 vote
0 answers
20 views

Fourier series how to show $a_n$

1 vote
2 answers
763 views

Binomial distribution of $P(x>8)$

0 votes
2 answers
80 views

$ \int e^{-\sin t} \cos t~ dt - \int e^{-\sin t} \cos t \sin t~ dt $

0 votes
1 answer
366 views

Find the charge in the steady state. What does steady state mean in this problem?

0 votes
2 answers
695 views

Inverse Laplace transform of $\frac{e^{-\pi s}}{s^2 + 2s+ 2}$

0 votes
2 answers
39 views

is there any way to simplify my final expression?

0 votes
1 answer
30 views

$\mathcal{L} ( (t+5)U(t-1) ) $

0 votes
2 answers
5k views

Arithmetic progression questions type

0 votes
1 answer
161 views

How do I find a Fourier coefficient without using integration?

0 votes
1 answer
525 views

Laplace transform using 2nd shifting Theorem

0 votes
5 answers
456 views

Laplace transform of piecewise function - making it to become heaviside unitstep function

0 votes
2 answers
878 views

Summation rules and properties

0 votes
1 answer
24 views

finding $\frac{dz}{dt}$ of $z(x,y)= x^2y^3$ , $x(t)= 2t^3$ , $y(t) = 3t^2$

0 votes
1 answer
345 views

Fourier series - if it’s not an odd function, how does shifting affects my calculation?

0 votes
1 answer
210 views

Laplace transform of $\mathcal{L}{tg(t)}$

0 votes
1 answer
84 views

Integrating factor method to integrate $\frac{dT}{dt} = - k(T-T_a)$

0 votes
2 answers
67 views

Find $\mathcal{L}^{-1} \frac{9}{(s+3)^3} $

0 votes
1 answer
697 views

Inverse Laplace transform (first shifting theorem)

0 votes
1 answer
95 views

Simplifying $\tan^{-1} y = (\tan^{-1} x + C)$ [closed]