User kevinkayaks

7 votes

Accepted

Finding the coefficients of $x^0,x^1,x^2, \dots ,x^{10}$ in $(1+x^2+x^5)^{100}$

answered Mar 26 at 1:10

3 votes

Accepted

How to find probability of the difference between a maximum and minimum of a set of random variables?

answered Mar 26 at 2:50

3 votes

My attempt $\int_0^\infty -\arcsin e^{-x}dx$

answered Aug 14, 2021 at 0:25

3 votes

Show that $\int_0^\infty \frac{e^{ax}-e^{bx}}{\left(1+e^{ax}\right)\left(1+e^{bx}\right)}dx = \frac{a-b}{ab}\log 2$

answered Aug 18, 2021 at 0:18

2 votes

Accepted

Moment Generating Function of a Truncated Gaussian

answered Dec 26, 2021 at 12:03

2 votes

Closed form for an infinite series involving lower incomplete gamma functions

answered Jul 26, 2019 at 20:27

2 votes

Accepted

Solve $-\frac{\partial }{\partial x} (-\gamma p^* - \frac{\sigma^2}{2} \frac{\partial }{\partial x} p^* ) = 0$

answered Nov 15, 2020 at 23:21

2 votes

How to solve this cubic equation (where I must take the square root of a negative)?

answered Nov 16, 2020 at 2:13

2 votes

Accepted

For calculating chance to hit, does imprecision of the shooter matter if it's less than the uncertainty of position of the target?

answered Mar 26 at 4:22

2 votes

Solution of non-homogeneous second-order differential equation with time dependent coefficients

answered Jan 30 at 18:08

2 votes

Accepted

How to solve this second order nonlinear ODE?

answered Nov 6, 2022 at 23:10

2 votes

Is it possible to have a closed form solution of this coupled non-autonomous differential equation?

answered Feb 19 at 16:11

2 votes

Geometric intuition for expressing $\arcsin(x)$ as an integral?

answered Feb 19 at 17:20

2 votes

Accepted

How to procedurally generate deterministic, easily differentiable terrain?

answered Feb 22 at 21:26

1 vote

Accepted

Solving Generalized Heat Equation by separation of variables

answered Mar 19 at 17:45

1 vote

non-linear differentiation equation solution for $y'=\frac1{x+y^2}$

answered Mar 26 at 2:07

1 vote

Accepted

Is there a way to describe this force using only one equation?

answered Nov 11, 2022 at 7:59

1 vote

Nested Gamma Distributions

answered Nov 14, 2022 at 23:22

1 vote

Propagation of error for an integral

answered Nov 16, 2022 at 21:36

1 vote

Angle problem between points on a unit sphere

answered Mar 26 at 2:24

1 vote

Accepted

How to calculate the convolution product of $(H_0 e^{\alpha t}) * (H_0 e^{-\alpha t})$?

answered Mar 26 at 1:53

1 vote

Accepted

Increasing the tail of exponential function

answered Nov 18, 2020 at 19:07

1 vote

Accepted

Integrand is sharply peaked

answered Feb 15, 2021 at 2:04

1 vote

The solution to the differential equation doesn't work? Help?

answered Feb 18, 2021 at 0:46

1 vote

Accepted

Python code for graphing a rose curve

answered Jun 15, 2021 at 5:02

1 vote

expected number of jumps of a Markov chain

answered Jul 4, 2021 at 19:47

1 vote

Probability Question involving Random Walk

answered Mar 1, 2022 at 3:08

1 vote

probability - vehicle arriving and gap in between them

answered Dec 22, 2018 at 3:15

1 vote

Accepted

Verifying Solution of PDE

answered Mar 13, 2022 at 7:41

1 vote

Integral of product of exponential function and polynomial function

answered Nov 4, 2022 at 22:04

Stack Exchange Network

35 Answers

Finding the coefficients of $x^0,x^1,x^2, \dots ,x^{10}$ in $(1+x^2+x^5)^{100}$

How to find probability of the difference between a maximum and minimum of a set of random variables?

My attempt $\int_0^\infty -\arcsin e^{-x}dx$

Show that $\int_0^\infty \frac{e^{ax}-e^{bx}}{\left(1+e^{ax}\right)\left(1+e^{bx}\right)}dx = \frac{a-b}{ab}\log 2$

Moment Generating Function of a Truncated Gaussian

Closed form for an infinite series involving lower incomplete gamma functions

Solve $-\frac{\partial }{\partial x} (-\gamma p^* - \frac{\sigma^2}{2} \frac{\partial }{\partial x} p^* ) = 0$

How to solve this cubic equation (where I must take the square root of a negative)?

For calculating chance to hit, does imprecision of the shooter matter if it's less than the uncertainty of position of the target?

Solution of non-homogeneous second-order differential equation with time dependent coefficients

How to solve this second order nonlinear ODE?

Is it possible to have a closed form solution of this coupled non-autonomous differential equation?

Geometric intuition for expressing $\arcsin(x)$ as an integral?

How to procedurally generate deterministic, easily differentiable terrain?

Solving Generalized Heat Equation by separation of variables

non-linear differentiation equation solution for $y'=\frac1{x+y^2}$

Is there a way to describe this force using only one equation?

Nested Gamma Distributions

Propagation of error for an integral

Angle problem between points on a unit sphere

How to calculate the convolution product of $(H_0 e^{\alpha t}) * (H_0 e^{-\alpha t})$?

Increasing the tail of exponential function

Integrand is sharply peaked

The solution to the differential equation doesn't work? Help?

Python code for graphing a rose curve

expected number of jumps of a Markov chain

Probability Question involving Random Walk

probability - vehicle arriving and gap in between them

Verifying Solution of PDE

Integral of product of exponential function and polynomial function