Homework Answers
Add Answer to:
(1 point) It can be shown that yı = e-4x and y2 = xe-4x are solutions...
(1 point) It can be shown that h-e® and y2-e 9z are solutions to the differential...
(1 point) It can be shown that h-e® and y2-e 9z are solutions to the differential equation on the interval (-oo, oo) Find the Wronskian of y1,3/2 (Note the order matters) Do the functions y1, 32 form a fundamental set on -oo, 0o)? Answer should be yes or no
Please help on these HW problems It can be shown that yı = x-2, y2 =...
Please help on these HW problems
It can be shown that yı = x-2, y2 = x-6 and y3 = 7 are solutions to the differential equation xạy" + 11xy" + 21y' = 0. W(y1, y2, y3) = For an IVP with initial conditions at x = 3, C1yı + C2y2 + c3y3 is the general solution for x on what interval? It can be shown that yı = x-2, y2 = x-7 and y3 = 5 are solutions to...
Bonus (Abel's formula) a) Show that if y1 and y2 are solutions to the differential equation...
Bonus (Abel's formula) a) Show that if y1 and y2 are solutions to the differential equation y"p(t)y(t)y 0 where p and q are continuous on an interval I, then the Wronskian of y and y2, W(y1,y2) (t) is given by - Sp(t)dt ce W(y1, y2)(t) where c depends on y and y2 (b) Use Abel's formula to find the Wronskian of two solutions to the differential equation ty"(t 1)y 3y 0 Do not solve the differential equation
1. (20 pts.) In the following Problems: (a) Seek power series solutions of the given differential...
1. (20 pts.) In the following Problems: (a) Seek power series solutions of the given differential equation about the given point xo ; find the recurrence relation. (b) Find the first four terms in each of two solutions yi and y2 (unless the series terminates sooner). (c) By evaluating the Wronskian W(y1, y2)(xo), show that yı and y2 form a fundamental set of solutions. (d) If possible, find the general term in each solution. i) y" +k+x+y = 0, 40...
Chapter 5, Section 5.2, Question 2 In the Problem: • a. Seek power series solutions of...
Chapter 5, Section 5.2, Question 2 In the Problem: • a. Seek power series solutions of the given differential equation about the given point xo; find the recurrence relation that the coefficients must satisfy. . b. Find the first four nonzero terms in each of two solutions yn and y2 (unless the series terminates sooner). • c. By evaluating the Wronskian W[y1, y2](xo), show that y, and y2 form a fundamental set of solutions. • d. If possible, find the...
(1 point) Find the function yn oft which is the solution of 494" – 9y =...
(1 point) Find the function yn oft which is the solution of 494" – 9y = 0 y(0) = 1, 41(0) = 0. with initial conditions Yi = Find the function y of t which is the solution of 49y" – 9y = 0 with initial conditions Y2 = y2(0) = 0, $(0) = 1. Find the Wronskian W(t) = W(41, 42). (Hint: write y, and y2 in terms of hyperbolic sine and cosine and use properties of the hyperbolic...
A) Assume that y1(c) t and y2)te are solutions of the differential equation t2y_ t(t + 2))" + t(t...
a) Assume that y1(c) t and y2)te are solutions of the differential equation t2y_ t(t + 2))" + t(t + 2)y-0, t > 0 Do y1(t) and y2() form a fundamental set of solutions of the O.D.E.? C) State the general solution for this O.D.E.
a) Assume that y1(c) t and y2)te are solutions of the differential equation t2y_ t(t + 2))" + t(t + 2)y-0, t > 0 Do y1(t) and y2() form a fundamental set of solutions of...
differential equations 2. (a) Verify that yı = e cos x and y2 = etsin x...
differential equations
2. (a) Verify that yı = e cos x and y2 = etsin x are solutions of -2y + 2yło on (-00,00). 204 Chapter 5 Linear Second Order Equations (b) Verify that ifc, and are arbitrary constants then y = cre* cos x + cze sinx is a solution of (A) on (-00,00) (c) Solve the initial value problem y" - 2y + 2y = 0, y(0) = 3. y'(O) = -2
(1 point) The general solution of the homogeneous differential equation can be written as 2 where...
(1 point) The general solution of the homogeneous differential equation can be written as 2 where a, b are arbitrary constants and is a particular solution of the nonhomogeneous equation By superposition, the general solution of the equation 2y 5ryy 18z+1 isyp so yax-1+bx-5+1+3x NOTE: you must use a, b for the arbitrary constants. Find the solution satisfying the initial conditions y(1) 3, y'(1) 8 The fundamental theorem for linear IVPs shows that this solution is the unique solution to...
find Y1=, Y2=, and W(t)= (1 point) Find the function yi of t which is the...
find Y1=, Y2=, and W(t)=
(1 point) Find the function yi of t which is the solution of 25y" – 40y' + 12y = 0 y(0) = 1, yf(0) = 0. with initial conditions Yi = Find the function y2 of t which is the solution of 25y" – 40y' + 12y = 0 with initial conditions Y2 = Find the Wronskian W(t) = W(y1, y2). W(t) = Remark: You can find W by direct computation and use Abel's theorem...
(1 point) It can be shown that h-e® and y2-e 9z are solutions to the differential equation on the interval (-oo, oo) Find the Wronskian of y1,3/2 (Note the order matters) Do the functions y1, 32 form a fundamental set on -oo, 0o)? Answer should be yes or no
Please help on these HW problems
It can be shown that yı = x-2, y2 = x-6 and y3 = 7 are solutions to the differential equation xạy" + 11xy" + 21y' = 0. W(y1, y2, y3) = For an IVP with initial conditions at x = 3, C1yı + C2y2 + c3y3 is the general solution for x on what interval? It can be shown that yı = x-2, y2 = x-7 and y3 = 5 are solutions to...
Bonus (Abel's formula) a) Show that if y1 and y2 are solutions to the differential equation y"p(t)y(t)y 0 where p and q are continuous on an interval I, then the Wronskian of y and y2, W(y1,y2) (t) is given by - Sp(t)dt ce W(y1, y2)(t) where c depends on y and y2 (b) Use Abel's formula to find the Wronskian of two solutions to the differential equation ty"(t 1)y 3y 0 Do not solve the differential equation
1. (20 pts.) In the following Problems: (a) Seek power series solutions of the given differential equation about the given point xo ; find the recurrence relation. (b) Find the first four terms in each of two solutions yi and y2 (unless the series terminates sooner). (c) By evaluating the Wronskian W(y1, y2)(xo), show that yı and y2 form a fundamental set of solutions. (d) If possible, find the general term in each solution. i) y" +k+x+y = 0, 40...
Chapter 5, Section 5.2, Question 2 In the Problem: • a. Seek power series solutions of the given differential equation about the given point xo; find the recurrence relation that the coefficients must satisfy. . b. Find the first four nonzero terms in each of two solutions yn and y2 (unless the series terminates sooner). • c. By evaluating the Wronskian W[y1, y2](xo), show that y, and y2 form a fundamental set of solutions. • d. If possible, find the...
(1 point) Find the function yn oft which is the solution of 494" – 9y = 0 y(0) = 1, 41(0) = 0. with initial conditions Yi = Find the function y of t which is the solution of 49y" – 9y = 0 with initial conditions Y2 = y2(0) = 0, $(0) = 1. Find the Wronskian W(t) = W(41, 42). (Hint: write y, and y2 in terms of hyperbolic sine and cosine and use properties of the hyperbolic...
a) Assume that y1(c) t and y2)te are solutions of the differential equation t2y_ t(t + 2))" + t(t + 2)y-0, t > 0 Do y1(t) and y2() form a fundamental set of solutions of the O.D.E.? C) State the general solution for this O.D.E.
a) Assume that y1(c) t and y2)te are solutions of the differential equation t2y_ t(t + 2))" + t(t + 2)y-0, t > 0 Do y1(t) and y2() form a fundamental set of solutions of...
differential equations
2. (a) Verify that yı = e cos x and y2 = etsin x are solutions of -2y + 2yło on (-00,00). 204 Chapter 5 Linear Second Order Equations (b) Verify that ifc, and are arbitrary constants then y = cre* cos x + cze sinx is a solution of (A) on (-00,00) (c) Solve the initial value problem y" - 2y + 2y = 0, y(0) = 3. y'(O) = -2
(1 point) The general solution of the homogeneous differential equation can be written as 2 where a, b are arbitrary constants and is a particular solution of the nonhomogeneous equation By superposition, the general solution of the equation 2y 5ryy 18z+1 isyp so yax-1+bx-5+1+3x NOTE: you must use a, b for the arbitrary constants. Find the solution satisfying the initial conditions y(1) 3, y'(1) 8 The fundamental theorem for linear IVPs shows that this solution is the unique solution to...
find Y1=, Y2=, and W(t)=
(1 point) Find the function yi of t which is the solution of 25y" – 40y' + 12y = 0 y(0) = 1, yf(0) = 0. with initial conditions Yi = Find the function y2 of t which is the solution of 25y" – 40y' + 12y = 0 with initial conditions Y2 = Find the Wronskian W(t) = W(y1, y2). W(t) = Remark: You can find W by direct computation and use Abel's theorem...
Most questions answered within 3 hours.
-
Minitab Problem: Take the Lake Hume June rainfall data and find
use the processes outlined in...
asked 4 minutes ago -
X Company is trying to decide whether to continue using old
equipment to make Product A...
asked 5 minutes ago -
IN PYTHON ONLY !! Program 2: Re-work
program #5 (WeeklyHours) from the previous assignment such that...
asked 42 minutes ago -
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 2 hours ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 3 hours ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 3 hours ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 3 hours ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 3 hours ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 4 hours ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 4 hours ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 4 hours ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 4 hours ago