Please show all the details steps, and give a brief explanation in part C. Thank you very much!
This problem involves the homogeneous differential equation
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Please show all the details steps, and give a brief
explanation in part C. Thank you...
Please do in next 3 hours! Only answer for part c , please also answer the...
Please do in next 3 hours! Only answer for part c ,
please also answer the part c question of "How is this general
solution related to the particular solutions you found in the
previous parts (a) and (b) of this question? Can you add these
particular solutions together with arbitrary coefficients to get a
new particular solution?" This
problem involves the homogeneous differential equation 2-x-61-0 that you considered in part a of the previous problem (a) Find the general...
Previous Problem Problem List Next Problem (1 point) Note WeBWork will interpret acos(z) as cos (z),...
Previous Problem Problem List Next Problem (1 point) Note WeBWork will interpret acos(z) as cos (z), so in order to write a times cos(z) you need to type a cos(z) or put a space between them. The general solution of the homogeneous differential equation can be written as e-acos(x)+bsin(z) where a, b are arbitrary constants and 1r is a particular solution of the nonhomogeneous equation By superposition, the general solution of the equation y" + ly-2ez is บ-Uc + so...
#2 part a b and c please. please write solutions neatly 2. (27 points) Find the...
#2 part a b and c please. please write solutions neatly
2. (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution y, of the nonhomogeneous equation. Do not solve for the undetermined coefficients in y, (a) (10 points) y" - 9 - 22 y 3x2 (b) (10 points) y" - 4y' + 29y = 8r sin 3x 3 2. (c)points) Find a homogeneous linear...
plz show work, thank you 1. For the following problem, determine if the following equations are...
plz show work, thank you
1. For the following problem, determine if the following equations are linear or nonlinear. If it is linear, classify it as being homogeneous or non-homogeneous, with constant coefficients or variable coefficient (5 points) y" +(1- x)y'+ xy = sin(x) 2. Consider the differential equation: y" - 4y' +5y = 0 (a) (5 points) Find a general solution to the differential equation (b) (5 points) Find a solution to the differential equation that satisfies the initial...
4. Consider the following initial value problem: y(0) = e. (a) Solve the IVP using the...
4. Consider the following initial value problem: y(0) = e. (a) Solve the IVP using the integrating factor method. (b) What is the largest interval on which its solution is guaranteed to uniquely exist? (c) The equation is also separable. Solve it again as a separable equation. Find the particular solution of this IVP. Does your answer agree with that of part (a)? 5 Find the general solution of the differential equation. Do not solve explicitly for y. 6,/Solve explicitly...
All I need answered is C In certain physical models, the nonhomogeneous term, or forcing term,...
All I need answered is C
In certain physical models, the nonhomogeneous term, or forcing term, g(t) in the equation ay'' + by' + cy=g(t) may not be continuous, but have a jump discontinuity. If this occurs, a reasonable solution can still be obtained using the following procedure. Consider the following initial value problem. 270 if Osts 7n/6 y'' + 6y' +45y = g(t); y(0) = 0, y' (O) = 0, where g(t) = 0 if t>7n/6 Complete parts (a)...
Could you solve all the problems, please? Thank you D ie 15 points 50 1. Solve...
Could you solve all the problems, please? Thank you
D ie 15 points 50 1. Solve the initial value problem y + 4y' + 40y = cos 3t. y(0) = 0, 7(0) = - 1. 2. Over what interval can you be sure that there is a solution to the initial value problem (tỷ - 36 (t? - 1) / + y =t-. (3) = - 3, 4 (3) = 0 ? Why? 3. Let 41. y2 be solutions to...
5. Try again < Previous You have answered 1 out of 3 parts correctly. Consider the...
5. Try again < Previous You have answered 1 out of 3 parts correctly. Consider the differential equation: y" +625y = sec (25x). a. Find the general solution to the corresponding homogeneous equation. In your answer, use ci and cy to denote arbitrary constants. Enter cı as c1 and ca as c2. Ye = cl cos(25x) + c2 sin (25x) b. Apply variation of parameters to find a particular solution. Yp = 625 In ( cos(25x)) cos(25x) + mars -x...
(1 point) In this exercise you will solve the initial value problem e-9 y" – 184'...
(1 point) In this exercise you will solve the initial value problem e-9 y" – 184' +81y = 4472; y(0) = -3, v'(0) = -2. (1) Let C and Cybe arbitrary constants. The general solution to the related homogeneous differential equation y" – 18y' +81y = 0 is the function yh() = C1 yı() + C2 y2() = C1 +C2 NOTE: The order in which you enter the answers is important; that is, Cif(T) + C29(2) #C19() +C2f(). is of...
THIS IS ONE WHOLE QUESTION PLEASE ANSWER ALL OF THEM THANK YOU. 3. Consider the following...
THIS IS ONE WHOLE QUESTION PLEASE ANSWER ALL OF THEM THANK
YOU.
3. Consider the following differential equation. Y" - 3y' - 40y = e85 (15622 - 1062 +29) (a) Find the general solution yn of the complementary homogeneous equation using its characteristic equation and theorem 5.2.1 from our textbook. (b) Use the method of undetermined coefficients to find a particular solution yp of the nonhomogeneous equation (*). (c) Use your work in parts a) and b) to find the...
Please do in next 3 hours! Only answer for part c ,
please also answer the part c question of "How is this general
solution related to the particular solutions you found in the
previous parts (a) and (b) of this question? Can you add these
particular solutions together with arbitrary coefficients to get a
new particular solution?" This
problem involves the homogeneous differential equation 2-x-61-0 that you considered in part a of the previous problem (a) Find the general...
Previous Problem Problem List Next Problem (1 point) Note WeBWork will interpret acos(z) as cos (z), so in order to write a times cos(z) you need to type a cos(z) or put a space between them. The general solution of the homogeneous differential equation can be written as e-acos(x)+bsin(z) where a, b are arbitrary constants and 1r is a particular solution of the nonhomogeneous equation By superposition, the general solution of the equation y" + ly-2ez is บ-Uc + so...
#2 part a b and c please. please write solutions neatly
2. (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution y, of the nonhomogeneous equation. Do not solve for the undetermined coefficients in y, (a) (10 points) y" - 9 - 22 y 3x2 (b) (10 points) y" - 4y' + 29y = 8r sin 3x 3 2. (c)points) Find a homogeneous linear...
plz show work, thank you
1. For the following problem, determine if the following equations are linear or nonlinear. If it is linear, classify it as being homogeneous or non-homogeneous, with constant coefficients or variable coefficient (5 points) y" +(1- x)y'+ xy = sin(x) 2. Consider the differential equation: y" - 4y' +5y = 0 (a) (5 points) Find a general solution to the differential equation (b) (5 points) Find a solution to the differential equation that satisfies the initial...
4. Consider the following initial value problem: y(0) = e. (a) Solve the IVP using the integrating factor method. (b) What is the largest interval on which its solution is guaranteed to uniquely exist? (c) The equation is also separable. Solve it again as a separable equation. Find the particular solution of this IVP. Does your answer agree with that of part (a)? 5 Find the general solution of the differential equation. Do not solve explicitly for y. 6,/Solve explicitly...
All I need answered is C
In certain physical models, the nonhomogeneous term, or forcing term, g(t) in the equation ay'' + by' + cy=g(t) may not be continuous, but have a jump discontinuity. If this occurs, a reasonable solution can still be obtained using the following procedure. Consider the following initial value problem. 270 if Osts 7n/6 y'' + 6y' +45y = g(t); y(0) = 0, y' (O) = 0, where g(t) = 0 if t>7n/6 Complete parts (a)...
Could you solve all the problems, please? Thank you
D ie 15 points 50 1. Solve the initial value problem y + 4y' + 40y = cos 3t. y(0) = 0, 7(0) = - 1. 2. Over what interval can you be sure that there is a solution to the initial value problem (tỷ - 36 (t? - 1) / + y =t-. (3) = - 3, 4 (3) = 0 ? Why? 3. Let 41. y2 be solutions to...
5. Try again < Previous You have answered 1 out of 3 parts correctly. Consider the differential equation: y" +625y = sec (25x). a. Find the general solution to the corresponding homogeneous equation. In your answer, use ci and cy to denote arbitrary constants. Enter cı as c1 and ca as c2. Ye = cl cos(25x) + c2 sin (25x) b. Apply variation of parameters to find a particular solution. Yp = 625 In ( cos(25x)) cos(25x) + mars -x...
(1 point) In this exercise you will solve the initial value problem e-9 y" – 184' +81y = 4472; y(0) = -3, v'(0) = -2. (1) Let C and Cybe arbitrary constants. The general solution to the related homogeneous differential equation y" – 18y' +81y = 0 is the function yh() = C1 yı() + C2 y2() = C1 +C2 NOTE: The order in which you enter the answers is important; that is, Cif(T) + C29(2) #C19() +C2f(). is of...
THIS IS ONE WHOLE QUESTION PLEASE ANSWER ALL OF THEM THANK
YOU.
3. Consider the following differential equation. Y" - 3y' - 40y = e85 (15622 - 1062 +29) (a) Find the general solution yn of the complementary homogeneous equation using its characteristic equation and theorem 5.2.1 from our textbook. (b) Use the method of undetermined coefficients to find a particular solution yp of the nonhomogeneous equation (*). (c) Use your work in parts a) and b) to find the...
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