Solving a Differential Equation for Lead Poisoning Rates

chimychang
Messages
5
Reaction score
0
Last edited by a moderator:
Physics news on Phys.org
the initial condition is something that is specified...

why not try showing your work, so I can see where you're stuck
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Given unit impulse response, obtain differential equation
Replies
7
Views
1K
Solving a linear differential equation with constant coefficients
Replies
9
Views
2K
Verify Green's Formula for a Simple DE
Replies
1
Views
1K
Finding the differential equation of motion
Replies
4
Views
2K
Solve the system of differential equations
Replies
10
Views
2K
Separable first order ODE involving tangent
Replies
2
Views
2K
Use Wronskian method in solving the given second order differential equation
Replies
7
Views
2K
First order differential equation
Replies
6
Views
2K
Obtain a nonzero solution of ##y''-4y'+x^2(y'-4y)=0## by inspection
Replies
7
Views
2K
Solving a system of differential equations
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top