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Problem 1. (1 point) A function y(t) satisfies the differential equation ay = – 44 –...
Section 1.1 Direction Fields: Problem 4 Previous Problem Problem List Next Problem (1 point) A function...
Section 1.1 Direction Fields: Problem 4 Previous Problem Problem List Next Problem (1 point) A function y(t) satisfies the differential equation dy (a) What are the constant solutions of this equation? Separate your answers by commas (b) For what values of y is y strictly increasing? and liy< Note: You can earn partial credit on this problem. Preview My Answers Suhmit Answers
Problem 13. (1 point) Consider the differential equation y" + ay' + By=t+e3t. Suppose the form...
Problem 13. (1 point) Consider the differential equation y" + ay' + By=t+e3t. Suppose the form of the particular solution to this differential equation as prescribed by the method of undetermined coefficients is yp(t) = Alt + Apt + Bote3t Determine the constants a and B. a= help (numbers) B= help (numbers) Note: You can earn partial credit on this problem.
Consider the partial differential equation for the function y(x, y) ay ay Әх ду? - ryu...
Consider the partial differential equation for the function y(x, y) ay ay Әх ду? - ryu = 0 (i) State whether this equation is linear homogeneous, linear inhomogeneous, or non-linear. Justify your statement. (ii) Separate the variables in this equation. Find the separate equations for the variables x and y. (iii) Find the general solutions for each of the separated equations.
(1 point) Let a be a real constant. Consider the equation dx2 dx with boundary conditions y(0)0 and y(2) 0 For certain discrete values of a, this equation can have non-zero solutions. Find the three...
(1 point) Let a be a real constant. Consider the equation dx2 dx with boundary conditions y(0)0 and y(2) 0 For certain discrete values of a, this equation can have non-zero solutions. Find the three smallest values of a for which this is the case. Enter your answers in increasing order. a2 , аз Note: You can earn partial credit on this problem
(1 point) Let a be a real constant. Consider the equation dx2 dx with boundary conditions y(0)0...
For two different values of r, the function y(t)= t' satisfies the differential equation ty" –...
For two different values of r, the function y(t)= t' satisfies the differential equation ty" – 4 ty' + 6 y = 0 What are the two values of r ? Separate the numbers with a comma, e.g. 1,2
QUESTION 11 Question: A function y(x) satisfies the differential equation ay" +ay', + ају +aoy 54...
QUESTION 11 Question: A function y(x) satisfies the differential equation ay" +ay', + ају +aoy 54.6 xe 3 and the stated differential equation has charac- y(x) teristic polynomial pr) 3r-23r+ 1). Then the value of lim (A) 0.409721 (B) 0.270431 (C) 0.272703 (D) 0.0769268 (E) 0.337037 (F) 0.379485 (G) 0.0311248 (H) 0.21498 1S -900
QUESTION 11 Question: A function y(x) satisfies the differential equation ay" +ay', + ају +aoy 54.6 xe 3 and the stated differential equation has charac- y(x)...
Provious Problem Problem List Next Problem (1 point) Find the function g(t) that satisfies the differential...
Provious Problem Problem List Next Problem (1 point) Find the function g(t) that satisfies the differential equation dy 2ty 122e dt and the condition y(0) = 1. y(t) Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor search e
Consider the differential equation, L[y] = y'' + p(t)y' + q(t)y = 0, (1) whose coefficients...
Consider the differential
equation, L[y] = y'' + p(t)y' + q(t)y = 0, (1) whose coefficients p
and q are continuous on some open interval I. Choose some point t0
in I. Let y1 be the solution of equation (1) that also satisfies
the initial conditions y(t0) = 1, y'(t0) = 0, and let y2 be the
solution of equation (1) that satisfies the initial conditions
y(t0) = 0, y'(t0) = 1. Then y1 and y2 form a fundamental set...
Problem List Previous Problem (15 points) Find the function y(t) that satisfies the differential equation dy...
Problem List Previous Problem (15 points) Find the function y(t) that satisfies the differential equation dy 2ty = -15te dt and the condition y(0) = -5. M) =
Previous Problem List Next (1 point) if y = as is a solution to the differential...
Previous Problem List Next (1 point) if y = as is a solution to the differential equation đ -114 + y = 0, find the value of the constant k and the general solution to this equation. k= 30 y= A exp(5t)+B exp(5t) (Use constants A, B, etc., for any constants in your solution formula.) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score...
Section 1.1 Direction Fields: Problem 4 Previous Problem Problem List Next Problem (1 point) A function y(t) satisfies the differential equation dy (a) What are the constant solutions of this equation? Separate your answers by commas (b) For what values of y is y strictly increasing? and liy< Note: You can earn partial credit on this problem. Preview My Answers Suhmit Answers
Problem 13. (1 point) Consider the differential equation y" + ay' + By=t+e3t. Suppose the form of the particular solution to this differential equation as prescribed by the method of undetermined coefficients is yp(t) = Alt + Apt + Bote3t Determine the constants a and B. a= help (numbers) B= help (numbers) Note: You can earn partial credit on this problem.
Consider the partial differential equation for the function y(x, y) ay ay Әх ду? - ryu = 0 (i) State whether this equation is linear homogeneous, linear inhomogeneous, or non-linear. Justify your statement. (ii) Separate the variables in this equation. Find the separate equations for the variables x and y. (iii) Find the general solutions for each of the separated equations.
(1 point) Let a be a real constant. Consider the equation dx2 dx with boundary conditions y(0)0 and y(2) 0 For certain discrete values of a, this equation can have non-zero solutions. Find the three smallest values of a for which this is the case. Enter your answers in increasing order. a2 , аз Note: You can earn partial credit on this problem
(1 point) Let a be a real constant. Consider the equation dx2 dx with boundary conditions y(0)0...
For two different values of r, the function y(t)= t' satisfies the differential equation ty" – 4 ty' + 6 y = 0 What are the two values of r ? Separate the numbers with a comma, e.g. 1,2
QUESTION 11 Question: A function y(x) satisfies the differential equation ay" +ay', + ају +aoy 54.6 xe 3 and the stated differential equation has charac- y(x) teristic polynomial pr) 3r-23r+ 1). Then the value of lim (A) 0.409721 (B) 0.270431 (C) 0.272703 (D) 0.0769268 (E) 0.337037 (F) 0.379485 (G) 0.0311248 (H) 0.21498 1S -900
QUESTION 11 Question: A function y(x) satisfies the differential equation ay" +ay', + ају +aoy 54.6 xe 3 and the stated differential equation has charac- y(x)...
Provious Problem Problem List Next Problem (1 point) Find the function g(t) that satisfies the differential equation dy 2ty 122e dt and the condition y(0) = 1. y(t) Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor search e
Consider the differential
equation, L[y] = y'' + p(t)y' + q(t)y = 0, (1) whose coefficients p
and q are continuous on some open interval I. Choose some point t0
in I. Let y1 be the solution of equation (1) that also satisfies
the initial conditions y(t0) = 1, y'(t0) = 0, and let y2 be the
solution of equation (1) that satisfies the initial conditions
y(t0) = 0, y'(t0) = 1. Then y1 and y2 form a fundamental set...
Problem List Previous Problem (15 points) Find the function y(t) that satisfies the differential equation dy 2ty = -15te dt and the condition y(0) = -5. M) =
Previous Problem List Next (1 point) if y = as is a solution to the differential equation đ -114 + y = 0, find the value of the constant k and the general solution to this equation. k= 30 y= A exp(5t)+B exp(5t) (Use constants A, B, etc., for any constants in your solution formula.) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score...
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