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Question 6: Score 0/1 Use the transformation U = y(x) - 2+4 to find the solution...
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9...
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9 y(x) = 6 x+2, d x2 given that yh(x) = A e3x +B x @3x is the general solution of the corresponding homogeneous ODE. The form of yp(x) that you would try is Oyp = ax + b Oyp = a 2x Oyp = ax2 3x Enter your answer in Maple syntax only the function defining yp(x) in the box below. For example, if...
The plane passing through the 3 points A(4, -2, 1), B(4, -1,4) and C(1,-4,2) can be...
The plane passing through the 3 points A(4, -2, 1), B(4, -1,4) and C(1,-4,2) can be expressed as a parametric vector equation of the form x a 1V+ 12v2 where 1 and d2 are real parameters. You are given that V1 Find suitable vectors a and V2 and enter them in the boxes below. You must enter your answers using Maple notation, for example, the vector \(\begin{pmatrix}1\2\\3\end{pmatrix} is entered as <1, 2, 3>. a = Your response Correct response No...
1 2 2 1 -X Find the determinant of the matrix as a formula in terms of x and y. Remember to use the correct syntax for...
1 2 2 1 -X Find the determinant of the matrix as a formula in terms of x and y. Remember to use the correct syntax for a formula 0 0 1 -3 -x X Question 4: (2 points) a b c fis 3, find the determinant of these matrices: If the determinant of the matrix M = d e (gh k) b a C (a) 7 d 7e 7f h k -E. b-2 e c - 2 f a...
A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of...
A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u1 Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax For example: 3*x-2*y+5*z-2, or, 2*(x-1)+4*(y-2)+z-1-0, or 3x+ 6*z-12-y, or y-x+35*(z-256)-20 Do not use decimal approximations all numbers should be entered as exact expressions, for example...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the...
please give the correct answer with explanations, thank you
Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
Q1. Q2. Q3. Q4. Question 4 (2 marks) Attempt 1 A surface is described by the equation re10y+9y For a su...
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Question 4 (2 marks) Attempt 1 A surface is described by the equation re10y+9y For a surface defined by a vector R(t,y)y,z(ry), the element of surface area is given by dS For the given surface, determine the cross product Each component should be expressed using the correct Maple syntax; for example, one component might be: -31+7'x exp(-11 y) The first component of the cross product is The second component of the cross product is The third...
1.- A) Calculate the value at x = 1/2 for the particular solution y(x) that meets...
1.- A) Calculate the value at x = 1/2 for the particular solution y(x) that meets the initial conditions y(0) = 0 and y'(0) = -1 of the ED (Use case I): y'' = 2 ( y')^2 B) Indicate the values of A and B so that y'' + Ay' + B y = 0 be the ED that has as a general solution to: y (x) = C1 cos (3x) e^3x + C2 sin (3x) e^3x
Consider the following system: dx/dt=y(x^2+y^2-1) dy/dt= -x(x^2 +y^2-1) Find the equilibrium solution. 13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sk...
Consider the following system:
dx/dt=y(x^2+y^2-1)
dy/dt= -x(x^2 +y^2-1)
Find the equilibrium solution.
13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
(1 point) Find the solution of x²y" + 5xy' + (4 – 3x) y = 0,...
(1 point) Find the solution of x²y" + 5xy' + (4 – 3x) y = 0, x > 0 of the form y=x" Wazek, k=0 where ao = 1. r = help (numbers) ak = , k=1,2,3,... help (formulas)
score: 0 of 1 pt X 15.1.6 Evaluate the iterated integral. || (x?y-9xy) dy dx S...
score: 0 of 1 pt X 15.1.6 Evaluate the iterated integral. || (x?y-9xy) dy dx S S (x+y=9xy) dy dx= [(Type an integer or a simplified fraction.) Homework: Section 15.1 Matt Score: 0 of 1 pt X 15.1.9 Evaluate the iterated integral. In 2 In 5 3x + 24 dy dx 0 1 In 2 In 5 3x + 2y dy dx = (Type an exact answer.) ints Homework: Section Score: 0 of 1 pt X 15.1.10 Evaluate the iterated...
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9 y(x) = 6 x+2, d x2 given that yh(x) = A e3x +B x @3x is the general solution of the corresponding homogeneous ODE. The form of yp(x) that you would try is Oyp = ax + b Oyp = a 2x Oyp = ax2 3x Enter your answer in Maple syntax only the function defining yp(x) in the box below. For example, if...
The plane passing through the 3 points A(4, -2, 1), B(4, -1,4) and C(1,-4,2) can be expressed as a parametric vector equation of the form x a 1V+ 12v2 where 1 and d2 are real parameters. You are given that V1 Find suitable vectors a and V2 and enter them in the boxes below. You must enter your answers using Maple notation, for example, the vector \(\begin{pmatrix}1\2\\3\end{pmatrix} is entered as <1, 2, 3>. a = Your response Correct response No...
1 2 2 1 -X Find the determinant of the matrix as a formula in terms of x and y. Remember to use the correct syntax for a formula 0 0 1 -3 -x X Question 4: (2 points) a b c fis 3, find the determinant of these matrices: If the determinant of the matrix M = d e (gh k) b a C (a) 7 d 7e 7f h k -E. b-2 e c - 2 f a...
A space curve is defined by C:r(u)--2/u!+?+8u2k, for u > 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u1 Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax For example: 3*x-2*y+5*z-2, or, 2*(x-1)+4*(y-2)+z-1-0, or 3x+ 6*z-12-y, or y-x+35*(z-256)-20 Do not use decimal approximations all numbers should be entered as exact expressions, for example...
please give the correct answer with explanations, thank you
Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
Q1.
Q2.
Q3.
Q4.
Question 4 (2 marks) Attempt 1 A surface is described by the equation re10y+9y For a surface defined by a vector R(t,y)y,z(ry), the element of surface area is given by dS For the given surface, determine the cross product Each component should be expressed using the correct Maple syntax; for example, one component might be: -31+7'x exp(-11 y) The first component of the cross product is The second component of the cross product is The third...
Consider the following system:
dx/dt=y(x^2+y^2-1)
dy/dt= -x(x^2 +y^2-1)
Find the equilibrium solution.
13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
13. Consider the following system dx dy (e) Find the equilibrium solutions (0 Use Maple to sketch a phase portrait (me to understand the qualitative behavior of
(1 point) Find the solution of x²y" + 5xy' + (4 – 3x) y = 0, x > 0 of the form y=x" Wazek, k=0 where ao = 1. r = help (numbers) ak = , k=1,2,3,... help (formulas)
score: 0 of 1 pt X 15.1.6 Evaluate the iterated integral. || (x?y-9xy) dy dx S S (x+y=9xy) dy dx= [(Type an integer or a simplified fraction.) Homework: Section 15.1 Matt Score: 0 of 1 pt X 15.1.9 Evaluate the iterated integral. In 2 In 5 3x + 24 dy dx 0 1 In 2 In 5 3x + 2y dy dx = (Type an exact answer.) ints Homework: Section Score: 0 of 1 pt X 15.1.10 Evaluate the iterated...
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