Please solve questions 1 and 2. Please show all work and all steps. 1.) Find the...

Please solve questions 1 and 2. Please show all work and all steps.

1.) Find the solution x_a of the Bessel equation t²x'' + tx' + t²x = 0 such that x_a(0) = a

2.) Find the solution x_a of the Bessel equation t²x'' + tx' + (t²-1)x = 0 such that x'_a(0) = a

Expert Solution

Colby Messinger answered 1 year ago

Please solve the following questions. Please show all work and all steps. 1a.) Find CDF of...

Please solve the following questions. Please show all work and all steps. 1a.) Find CDF of the Bernoulli Distribution. 1b.) Explain your reasoning for part 1a above. Do not use a series result. 2a.) For the geometric distribution, show that the geometric pdf is actually a pdf (all probabilities are greater than or equal to 0 and the sum of the pdf from x=1 to x=infinity is equal to 1). 2b.) Find E(X) for 2a above. 2c.) Find V(X) for...

Please solve all of the questions, questions 1, 2, and 3. Please show all work and...

Please solve all of the questions, questions 1, 2, and 3. Please show all work and all steps. 1.) Find x(t) = Σ aktk such that tx'' = x 2.) Find x(t) = Σk>=0 aktk such that x'' = tx + 1 and x(0) = 0, x'(0) = 1 3.) Using the Frobenius method, solve t2x'' - 3tx' + (4-t)x = 0

Please solve all parts of the following question. Please show all work and all steps. 1a.)...

Please solve all parts of the following question. Please show all work and all steps. 1a.) Solve x' = x + 3y + 2t y' = x - y + t^2 1b.) Solve x' + ty = -1 y' + x' = 2 1c.) Solve x' + y = 3t y' - tx' = 0

Please answer all parts of the question. Please show all work and all steps. 1a.) Show...

Please answer all parts of the question. Please show all work and all steps. 1a.) Show that the solutions of x' = arc tan (x) + t cannot have maxima 1b.) Find the value of a such that the existence and uniqueness theorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a. 1c.) Find the limits, as t approaches both positive infinity and negative infinity, of the solution Φ(t) of the ivp x' = (x+2)(1-x^4), x(0) = 0

Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly...

Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly so I can follow your logic and learn to solve similar ones myself. I will also rate your answer. Thank you kindly! y′′ + 4y = f(t), y(0) = 0, y′(0) = 0, where;  f(t)= 1 if 1 ≤ t < 2, 0 otherwise

For a poisson distribution where X ~ Pois(u), solve the questions below. Please show all work...

For a poisson distribution where X ~ Pois(u), solve the questions below. Please show all work and all steps. a.) Show that the pmf is a pmf using the criteria for verifying pmf (2 conditions). b.) Show that E(X) = u c.) Show that Var(X) = u

*MUST SHOW ALL WORK AND STEPS TO SOLVE PROBLEM TYPED ANSWERS IN FULL DETAIL Problem 1...

*MUST SHOW ALL WORK AND STEPS TO SOLVE PROBLEM TYPED ANSWERS IN FULL DETAIL Problem 1 : Lucky Star Inc. just issued a bond with the following characteristics: Maturity = 3 years Coupon rate = 8% Face value = $1,000 YTM = 10% Interest is paid annually and the bond is noncallable. Calculate the bond’s Macaulay duration （Round "Present value" to 2 decimal places and "Duration" to 4 decimal place.） Calculate the bond’s modified duration Assuming the bond’s YTM goes...

Please show all work and all steps. 1.) Two cards are drawn from a standard 52-card...

Please show all work and all steps. 1.) Two cards are drawn from a standard 52-card playing deck. What is the probability that the draw will yield an ace and a face card? 2.) Articles coming through an inspection line are visually inspected by two successive inspectors. When a defective article comes through the inspection line, the probability that it gets by the first inspector is .1. The second inspector will "miss" five out of ten of the defective items...

Find integral from (-1)^4 t^3 dt please show all steps :)

PLEASE SHOW ALL WORK AND STEPS What is the pH of a solution that contains 0.050...

PLEASE SHOW ALL WORK AND STEPS What is the pH of a solution that contains 0.050 M acetic acid, HC2H3O2 (Ka=1.8 x 10^-5), and 0.05 M hydrocyanic acid HCN (Ka = 4.9 x 1^-10)?

Question