6. Compute e¯x² dx. (Hint: This is a function that cannot be integrated by formula. So use the following trick. Transform the double integral fo e-x² dx fe-y²dy into polar coordinates and you'll end up with a function that can be integrated easily.) 7. Use Exercise 6 to show that e-p² dp = √. Then substitute p = x/√4kt to show that ∞ S(x, t) dx = 1.

6. Compute e¯x² dx. (Hint: This is a function that cannot be integrated by formula. So use the following trick. Transform the double integral fo e-x² dx fe-y²dy into polar coordinates and you'll end up with a function that can be integrated easily.) 7. Use Exercise 6 to show that e-p² dp = √. Then substitute p = x/√4kt to show that ∞ S(x, t) dx = 1.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

question in pic
could you help me solve these ?
[12 7 3 22 For 1 5 1 7 and using x x, x3]=[1 2 1] as the initial guess, give the 2 7 -11||x,] values of x x x3 at the end of the fifth iteration in the Gauss-Jacobi and Gauss-Seidel method.
Can u explain this equation at least 5 sentences
Hey, can you please answer question 22 and show you're work and how you did it in detail, so I can understand and give the answer, please.
How do you solve this?
Solve equation and check answer Show your work 2/3 + 3m/5 =31/15
Please show solution how the final answer is got (the one with blue mark)
Question: complete the table, the first line has been completed for you as an example. note : I tried to solve the second line but can't solve the 3rd and 4th, please help
solving an equation with a root index greater than 2 4√3w+1+5=3
Plz solve the question in 20 minute and take a thumb up solve a part only
What formula do you use?