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1 31 400 20 49...
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)...
Solve the following questions and Choose the correct answer. 1) The General solution to y" +...
Solve the following questions and Choose the correct answer. 1) The General solution to y" + y = 0 sty -3&y(x) = -3 y = cos(3x) + sin(-31) , 3cos(x) – 3 sin(x) 3 ) 3 Answer 2) Suppose that y(t) and y(t) are two solutions of a certain second order linear differential equation, sin(t)y" + cos(t) y' - y = 0. 0<<< What is the general form of the Wronskian Wy ) (6) ? Without solving the equation. b)...
Need help on 8,9 and 10 please. (1 point) Use substitution to find the general solution...
Need help on 8,9 and 10 please.
(1 point) Use substitution to find the general solution of the differential equation (7x - y)dx +ady 0 (Use C to denote the arbitrary constant and In input | if using In.) help (formulas) Solve the differential equation (y2 + xy) dx-x2 dy = O c- Inlx G-loves Solve the homogeneous differential equation -yd(xaydy0 Note: Some algebraic manipulation goes into putting your answer into the form below. 10% of the following is a...
(1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part:...
(1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part: y' + 2y + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 e^(-t)sin(t) +C2 e^(-t)cos(t) . 2) Compute the particular solution yp via complexifying the differential equation: Note that the forcing e * cos(t) = Re(el 1+i)t)....
Help me. I've been looking at this textbook problem for an hour. I'm stuck at the last part. how ...
help me. I've been looking at this textbook problem for an
hour. I'm stuck at the last part. how does the question turn the
uncoupled system
(2z-2+3e^t) to the linear differential
z(t) = c1e^2t +e^3t +1
dobe Acrobat Reader DC ④ 315 (133 of 91 1)ト:@ Θ θ 129%·x-甲甲2 105 Solution of X'-AX+G315 This is 221-2+ 6z2 +2+3e This is an uncoupled system, consisting of one differential equation for just z, and a second differential equation for just z. Solve...
I need help solving these problems 1. Suppose that y= a (x-1)" is the power series...
I need help solving these problems
1. Suppose that y= a (x-1)" is the power series solution of the following initial value problem. x-y+2y=0; y(t) = -2, y(1)=1 Find the value of az. 2. Suppose that y=0(x) is the solution of the following initial value problem. y" + xy - (sinx)y=0; y(0)=1, 7(0) = 3 Find the value of (0) 3. Let p be the radius of convergence for the Taylor series of the following rational function centered at the...
need help solving Homework: 4.6 Variation of Parameters Save Score: 0 of 3 pts 3 of...
need help solving
Homework: 4.6 Variation of Parameters Save Score: 0 of 3 pts 3 of 4 (4 complete) HW Score: 70%. 7 of 10 pts X 4.6.23 Question Help Use variation of parameters to find a general solution to the differential equation given that the functions, and y, are linearly independent solutions to the corresponding homogeneous equation fort0 ty' - (+1) +y3+ y el Y=t+1 A general solution is yt)= Enter your answer in the answer box and then...
i need help with this differential equations problem 10) Consider the system of DE: x" +...
i need help with this differential equations problem
10) Consider the system of DE: x" + 10x – 4y = 0, -4x + y" + 4y = 0 subject to initial conditions, x(0) = 0, x'(0) = 1, y(0) = 0,y'(0) = -1. Denote L{x(t)} = X(s) and L{y(t)} = Y(s). By applying the Laplace transform to each equation, we get the following system a) (s? + 10)X(s) – 4Y(s) = 1, (s? + 4)Y(s) – 4X(s) = -1 b)...
help with all except numbers 21-26 16. Solve the differential equation by using the Cauchy-Euler Equation 17. Find the solution to the given Initial Value Problem using Green's Theorem 0,y'...
help with all except numbers 21-26
16. Solve the differential equation by using the Cauchy-Euler Equation 17. Find the solution to the given Initial Value Problem using Green's Theorem 0,y'(0)s 0 y(0) y" + 6y' + 9y x, 18. Find the solution to the given Boundary Value Problem y" ty-1, y(O)0, y(1) 19. Solve the system of differential equations by systematic elimination. dy dt dt 20. Use any procedure in Chapter 4 to solve the differential equation subjected to the...
Please solve them clear . 1. Consider the matrix A = [ 24 31. a) (7...
Please solve them clear .
1. Consider the matrix A = [ 24 31. a) (7 pnts) Find the characteristic polynomial of A. b) (7 pnts) Compute the matrix B = A- 2A +812. c) (6 pnts) Can you describe how to find the inverse of A using characteristic equation? 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above...
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)...
Solve the following questions and Choose the correct answer. 1) The General solution to y" + y = 0 sty -3&y(x) = -3 y = cos(3x) + sin(-31) , 3cos(x) – 3 sin(x) 3 ) 3 Answer 2) Suppose that y(t) and y(t) are two solutions of a certain second order linear differential equation, sin(t)y" + cos(t) y' - y = 0. 0<<< What is the general form of the Wronskian Wy ) (6) ? Without solving the equation. b)...
Need help on 8,9 and 10 please.
(1 point) Use substitution to find the general solution of the differential equation (7x - y)dx +ady 0 (Use C to denote the arbitrary constant and In input | if using In.) help (formulas) Solve the differential equation (y2 + xy) dx-x2 dy = O c- Inlx G-loves Solve the homogeneous differential equation -yd(xaydy0 Note: Some algebraic manipulation goes into putting your answer into the form below. 10% of the following is a...
(1 point) Solve y" + 2y + 2y = 4te-t cos(t). 1) Solve the homogeneous part: y' + 2y + 2y = 0 for Yh, using a real basis. Note the coded answer is ordered. If your basis is correct and your answer is not accepted, try again with the other ordering. Yn = C1 e^(-t)sin(t) +C2 e^(-t)cos(t) . 2) Compute the particular solution yp via complexifying the differential equation: Note that the forcing e * cos(t) = Re(el 1+i)t)....
help me. I've been looking at this textbook problem for an
hour. I'm stuck at the last part. how does the question turn the
uncoupled system
(2z-2+3e^t) to the linear differential
z(t) = c1e^2t +e^3t +1
dobe Acrobat Reader DC ④ 315 (133 of 91 1)ト:@ Θ θ 129%·x-甲甲2 105 Solution of X'-AX+G315 This is 221-2+ 6z2 +2+3e This is an uncoupled system, consisting of one differential equation for just z, and a second differential equation for just z. Solve...
I need help solving these problems
1. Suppose that y= a (x-1)" is the power series solution of the following initial value problem. x-y+2y=0; y(t) = -2, y(1)=1 Find the value of az. 2. Suppose that y=0(x) is the solution of the following initial value problem. y" + xy - (sinx)y=0; y(0)=1, 7(0) = 3 Find the value of (0) 3. Let p be the radius of convergence for the Taylor series of the following rational function centered at the...
need help solving
Homework: 4.6 Variation of Parameters Save Score: 0 of 3 pts 3 of 4 (4 complete) HW Score: 70%. 7 of 10 pts X 4.6.23 Question Help Use variation of parameters to find a general solution to the differential equation given that the functions, and y, are linearly independent solutions to the corresponding homogeneous equation fort0 ty' - (+1) +y3+ y el Y=t+1 A general solution is yt)= Enter your answer in the answer box and then...
i need help with this differential equations problem
10) Consider the system of DE: x" + 10x – 4y = 0, -4x + y" + 4y = 0 subject to initial conditions, x(0) = 0, x'(0) = 1, y(0) = 0,y'(0) = -1. Denote L{x(t)} = X(s) and L{y(t)} = Y(s). By applying the Laplace transform to each equation, we get the following system a) (s? + 10)X(s) – 4Y(s) = 1, (s? + 4)Y(s) – 4X(s) = -1 b)...
help with all except numbers 21-26
16. Solve the differential equation by using the Cauchy-Euler Equation 17. Find the solution to the given Initial Value Problem using Green's Theorem 0,y'(0)s 0 y(0) y" + 6y' + 9y x, 18. Find the solution to the given Boundary Value Problem y" ty-1, y(O)0, y(1) 19. Solve the system of differential equations by systematic elimination. dy dt dt 20. Use any procedure in Chapter 4 to solve the differential equation subjected to the...
Please solve them clear .
1. Consider the matrix A = [ 24 31. a) (7 pnts) Find the characteristic polynomial of A. b) (7 pnts) Compute the matrix B = A- 2A +812. c) (6 pnts) Can you describe how to find the inverse of A using characteristic equation? 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above...
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