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![L[y] =y-y is a linear operator. If u(x) = –224 + 4ce3x, then find L[u(x)]. a) 16e3+ + 12x32 b) -8.2 + 4e3+ + 12.ce 32 c) d)](http://img.homeworklib.com/questions/c2f47ae0-327d-11eb-8534-c7acc1d998bf.png?x-oss-process=image/resize,w_560)
can you please show all and every step thanks
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can you please show all and every step thanks
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1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos...
1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos - *cos(a). (a) Suppose that we know the characteristic polynomial of its corresponding homogeneous differential equation is P(x) = x²(12 - 3)(1? + 4) (1 - 1). Find the general solution yn of its corresponding homogeneous differential equation. (b) Give the form (don't solve it) of p, the particular solution of the nonhomogeneous differential equation 2. Find the general solution of the equation. (a)...
please answer both! i will rate Do not press Submit until all questions are colored green...
please answer both! i will rate
Do not press Submit until all questions are colored green and you have double checked your work. Use the Laplace transform to solve the initial-value problem: [y' + 3y = 5 cos(3x), y(0) -4] a) O (x) = coal 3 x) + sin( 3 ) + 402134 b) Oy(x) =20 - com(3x) + sin(3x) - Oy(x)=300432) + sin(32) - * d) O y(x) = 5 cos(3x) + 4 e) O y(x) -5 cos(3x) -4e3*...
Please Show every step thank you. Question 4 Your answer is INCORRECT. Give the Laplace transform...
Please Show every step thank you.
Question 4 Your answer is INCORRECT. Give the Laplace transform of f(x) = -2x2 – 3 + 3e3* cos(2x) - 3xe2x » ©F6)=-* 1) OF(S) ==* * = 5-65+ 13 6- 00F(0) - 4,2-68–13 6-232 b) +- 3s 32-65 +13 ( e) - . 3(3-2) s2 - 65 + 13 - S (S-2)2 1) None of the above. Question 5 Your answer is CORRECT. Give the inverse Laplace transform of F(s) = S-4 s(8...
#32 U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In...
#32
U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
#16 Please. Step By Step explanation would help me understand. Thank you. In Exercises 1-17 find...
#16 Please.
Step By Step explanation would help me understand. Thank
you.
In Exercises 1-17 find the general solution, given that yı satisfies the complementary equation. As a byproduct, find a fundamental set of solutions of the complementary equation. 1. (2x + 1)y" – 2y' - (2x + 3)y = (2x + 1)2; yı = e-* 2. x?y" + xy' - y = 3. x2y" – xy' + y = x; y1= x 4 22 y = x 1 4....
can someone help me solve #5 and please show work, thank you! 5.5 EXERCISES 1-6 Evaluate...
can someone help me solve #5 and please show work, thank
you!
5.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. 1. cos 2x dx, u= 2x 2. | xe dx, u = -x x3 + 1 dx, u= x + 1 sin cos e de, u = sin e - dx, u=x4 - 5
Can u guys hlep me answer each of those questions please Thanks in advance. could you...
Can u guys hlep me answer each of those questions please Thanks in
advance. could you guys do them step by step and explain which
rules u guys are used as you guys are doing the problems.
please.
(9) Find the derivative of each of the following: (a) y = 3,5-1 – VI + V2 (d) y = sin-(In x) (8) y = In V272422+3 In 2x – 1 x2 + 2x + 3 (j) y=7" + x1 (b) -...
please show all work. Thanks in advance :) To determine the 5 key points, you want to determine the x-coordinates of...
please show all work. Thanks in advance :)
To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
Please only fill in the red blanks (2 points) is typed as lambda, a as alpha....
Please only fill in the red blanks
(2 points) is typed as lambda, a as alpha. The PDE yº au au ar ay is separable, so we look for solutions of the form u(x, t) = X(2)Y(y). When solving DE in X and Y use the constants a and b for X and c for Y. The PDE can be rewritten using this solution as (placing constants in the DE for Y) into X"/X = (1/(k^2))(y^5)(Y'/Y) -2 Note: Use the...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos - *cos(a). (a) Suppose that we know the characteristic polynomial of its corresponding homogeneous differential equation is P(x) = x²(12 - 3)(1? + 4) (1 - 1). Find the general solution yn of its corresponding homogeneous differential equation. (b) Give the form (don't solve it) of p, the particular solution of the nonhomogeneous differential equation 2. Find the general solution of the equation. (a)...
please answer both! i will rate
Do not press Submit until all questions are colored green and you have double checked your work. Use the Laplace transform to solve the initial-value problem: [y' + 3y = 5 cos(3x), y(0) -4] a) O (x) = coal 3 x) + sin( 3 ) + 402134 b) Oy(x) =20 - com(3x) + sin(3x) - Oy(x)=300432) + sin(32) - * d) O y(x) = 5 cos(3x) + 4 e) O y(x) -5 cos(3x) -4e3*...
Please Show every step thank you.
Question 4 Your answer is INCORRECT. Give the Laplace transform of f(x) = -2x2 – 3 + 3e3* cos(2x) - 3xe2x » ©F6)=-* 1) OF(S) ==* * = 5-65+ 13 6- 00F(0) - 4,2-68–13 6-232 b) +- 3s 32-65 +13 ( e) - . 3(3-2) s2 - 65 + 13 - S (S-2)2 1) None of the above. Question 5 Your answer is CORRECT. Give the inverse Laplace transform of F(s) = S-4 s(8...
#32
U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
#16 Please.
Step By Step explanation would help me understand. Thank
you.
In Exercises 1-17 find the general solution, given that yı satisfies the complementary equation. As a byproduct, find a fundamental set of solutions of the complementary equation. 1. (2x + 1)y" – 2y' - (2x + 3)y = (2x + 1)2; yı = e-* 2. x?y" + xy' - y = 3. x2y" – xy' + y = x; y1= x 4 22 y = x 1 4....
can someone help me solve #5 and please show work, thank
you!
5.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. 1. cos 2x dx, u= 2x 2. | xe dx, u = -x x3 + 1 dx, u= x + 1 sin cos e de, u = sin e - dx, u=x4 - 5
Can u guys hlep me answer each of those questions please Thanks in
advance. could you guys do them step by step and explain which
rules u guys are used as you guys are doing the problems.
please.
(9) Find the derivative of each of the following: (a) y = 3,5-1 – VI + V2 (d) y = sin-(In x) (8) y = In V272422+3 In 2x – 1 x2 + 2x + 3 (j) y=7" + x1 (b) -...
please show all work. Thanks in advance :)
To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
Please only fill in the red blanks
(2 points) is typed as lambda, a as alpha. The PDE yº au au ar ay is separable, so we look for solutions of the form u(x, t) = X(2)Y(y). When solving DE in X and Y use the constants a and b for X and c for Y. The PDE can be rewritten using this solution as (placing constants in the DE for Y) into X"/X = (1/(k^2))(y^5)(Y'/Y) -2 Note: Use the...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
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