Question

Solve the initial value problem $y''-6y'+13y=0,\;y(0)=y'(0)=1$ using the Laplace transform.

score 849 · Answer 1 · 2026-04-15 03:09:12

849

Views

Solve the initial value problem $y''-6y'+13y=0,\;y(0)=y'(0)=1$ using the Laplace transform.

Published on 15 Apr 2026 - 3:09

score 338 · Answer 2 · 2026-04-08 19:08:55

338

Views

Is the infinite product of $-1 \times -1 \times -1 \times\dots = -i$?

Published on 08 Apr 2026 - 19:08

score 59 · Answer 3 · 2026-04-15 15:02:36

59

Views

integrating $\displaystyle\int_{\gamma}\frac{1+(-iz-2)^9}{16-(-iz-2)^2}\,dz$

Published on 15 Apr 2026 - 15:02

score 321 · Answer 4 · 2026-04-10 20:46:36

321

Views

Complex Integration example

Published on 10 Apr 2026 - 20:46

score 1.5k · Answer 5 · 2026-04-11 02:32:09

1.5k

Views

How to understand conjugate in orthogonal system of functions

Published on 11 Apr 2026 - 2:32

score 1.4k · Answer 6 · 2026-04-13 01:17:51

1.4k

Views

What am I doing wrong while finding the Laurent series of $\frac{1}{\sin(z)}$?

Published on 13 Apr 2026 - 1:17

score 51 · Answer 7 · 2026-04-13 06:50:39

51

Views

Show that the maximum is reached

Published on 13 Apr 2026 - 6:50

score 659 · Answer 8 · 2026-04-17 13:54:38

659

Views

What are the types of singularities of $\frac{z^{1/3}-1}{z-1}$?

Published on 17 Apr 2026 - 13:54

score 36 · Answer 9 · 2026-04-10 06:50:48

36

Views

what is the best approach to show that F is complex differentiable?

Published on 10 Apr 2026 - 6:50

score 42 · Answer 10 · 2026-04-13 15:49:55

42

Views

In need of theorem recommendations to prove that f(z) maps $\Bbb C \setminus B$ maps to $\Bbb C \setminus \{0\}$

Published on 13 Apr 2026 - 15:49

score 66 · Answer 11 · 2026-04-16 03:26:46

Find a conformal mapping of the half plane $D={z:x >0}$ onto the domain $d^{\prime}={w: |Arg w| < \lambda \pi}$, where $0 <\lambda \le 1$

score 63 · Answer 12 · 2026-04-08 20:34:44

63

Views

Integral of $h(z)h'(z)$

Published on 08 Apr 2026 - 20:34

score 61 · Answer 13 · 2026-04-15 20:08:54

$f(z)=\displaystyle\frac{1}{\pi}\int_0^1rdr\int_{-\pi}^{\pi}\frac{d\theta}{re^{i\theta}+z}$ and $|z|<1\implies$ $f(z)=\bar{z}$

score 169 · Answer 14 · 2026-04-16 15:09:49

169

Views

finding some point in a line segment with given ratio

Published on 16 Apr 2026 - 15:09

score 134 · Answer 15 · 2026-04-14 06:24:11

If ω is cube root of 1 and α,β,γ are cube roots of p , then for any real numbers x,y,z what is the value of (xα+yβ+zγ)/(xβ+yγ+zα)?

List Question

Solve the initial value problem $y''-6y'+13y=0,\;y(0)=y'(0)=1$ using the Laplace transform.

Is the infinite product of $-1 \times -1 \times -1 \times\dots = -i$?

integrating $\displaystyle\int_{\gamma}\frac{1+(-iz-2)^9}{16-(-iz-2)^2}\,dz$

Complex Integration example

How to understand conjugate in orthogonal system of functions

What am I doing wrong while finding the Laurent series of $\frac{1}{\sin(z)}$?

Show that the maximum is reached

What are the types of singularities of $\frac{z^{1/3}-1}{z-1}$?

what is the best approach to show that F is complex differentiable?

In need of theorem recommendations to prove that f(z) maps $\Bbb C \setminus B$ maps to $\Bbb C \setminus \{0\}$

Find a conformal mapping of the half plane $D={z:x >0}$ onto the domain $d^{\prime}={w: |Arg w| < \lambda \pi}$, where $0 <\lambda \le 1$

Integral of $h(z)h'(z)$

$f(z)=\displaystyle\frac{1}{\pi}\int_0^1rdr\int_{-\pi}^{\pi}\frac{d\theta}{re^{i\theta}+z}$ and $|z|<1\implies$ $f(z)=\bar{z}$

finding some point in a line segment with given ratio

If ω is cube root of 1 and α,β,γ are cube roots of p , then for any real numbers x,y,z what is the value of (xα+yβ+zγ)/(xβ+yγ+zα)?

Trending Questions

Popular # Hahtags

Popular Questions