Homework Answers
a - e (a) X + y +z = 11 X – Y – 2= -3...
a - e
(a) X + y +z = 11 X – Y – 2= -3 -2 + y - 2 = 5 (3x – y + 2z = 2 (b) x+y+z+t+p=17 X - Y - 2-t-p= -5 z +t+ p + y = 11 p - x - y = 1 -t + x = 10 (c) x +y + 2+t= -6 X - Y - 2 -t = 20 y - X=-39 2x + 3t + y -...
please show step by step so i can understand how u get the answer so i...
please show step by step so i can understand how u get the
answer so i can reciprocate in the future thank you!!
Consider the homogeneous linear system. X' = (1 -%)x Find a general solution of the system. est x=c(")e + c3(11) x = c1 (1) et + c2 (?)e3t x = c1 (e' + c2 (3) e3t ce() et (i)e * = C1 + C2 e-3t
One solution of x' = The general solution is 2 2 x+ b(e) is x(+) =...
One solution of x' = The general solution is 2 2 x+ b(e) is x(+) = (47 12 e34 Сі + C2 + ОВ. е“ e3t С1 + C2 + C3 e3t Int et Сі + C2 + C3 e3t In D. et est C1 + C2 + est Int OE Int
dr Consider the system: = 4x – 2y dy = x + y dt (a) Determine...
dr Consider the system: = 4x – 2y dy = x + y dt (a) Determine the type of the equilibrium point at the origin. (35 points) (b) Find all straight-line solutions and draw the phase portrait for the system. (35 points) (c) What is the general solution to the system? (15 points) (d) Find the solution of the system with initial conditions: x(0) = 1 and y(0) = -1. (15 points)
(3 points) (a) Find the general solution to y′′+2y′=0. Give your answer as y=... . In...
(3 points) (a) Find the general solution to
y′′+2y′=0. Give your answer as y=... . In your answer, use c1 and
c2 to denote arbitrary constants and x the independent variable.
Enter c1 as c1 and c2 as c2.
(3 points) (a) Find the general solution to y" + 2y' = 0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants and x the independent variable. Enter cı as c1 and C2...
Solve the equation. (2x)dx + (2y - 4x^y 'dy =0 by multiplying by the integrating factor....
Solve the equation. (2x)dx + (2y - 4x^y 'dy =0 by multiplying by the integrating factor. An implicit solution in the form F(x,y)=C is = C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) the solution y = 0 was lost the solution x = 0 was lost no solutions were lost
Solve the equation (3x2y-dx + y - 4x®y-dy=0 An implicit solution in the form F(x,y)=Cis-C, where...
Solve the equation (3x2y-dx + y - 4x®y-dy=0 An implicit solution in the form F(x,y)=Cis-C, where is an arbitrary constant, and (Type an expression using x and y as the variables ) by multiplying by the integrating factor
(2) Find the general solution to c = Ax + b for each A and b...
(2) Find the general solution to c = Ax + b for each A and b given bellow (note you are explicitly given the exponential matrix etA for each case) A ( 0 1 . (a) A = 10 cos(t)) tA _/ cos(t) sin(t) | -1 0 1 – sin(t)) l - sin(t) cos(t), ( 1 ) A ( e(V3)+ 0 ) | -3t ) l 0 e-(2/3)t) 5e3t . (c) A= 7 let + le-t je3t – je-t (...
5. Consider the system of differential equations regarding x = c(t), y = y(t), and z...
5. Consider the system of differential equations regarding x = c(t), y = y(t), and z = z(t): x' = 211 x + 212 y + 213 2 y = 221 x + 222 y + 223 2 z' = 231 2 + 232 y + 233 z where 211, 212,..., 233 are all real constants. Which of the following options could be a general solution of this system? (a) C C[-] é 2t + C2 eft (b) C-1 137...
a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) +...
a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...
a - e
(a) X + y +z = 11 X – Y – 2= -3 -2 + y - 2 = 5 (3x – y + 2z = 2 (b) x+y+z+t+p=17 X - Y - 2-t-p= -5 z +t+ p + y = 11 p - x - y = 1 -t + x = 10 (c) x +y + 2+t= -6 X - Y - 2 -t = 20 y - X=-39 2x + 3t + y -...
please show step by step so i can understand how u get the
answer so i can reciprocate in the future thank you!!
Consider the homogeneous linear system. X' = (1 -%)x Find a general solution of the system. est x=c(")e + c3(11) x = c1 (1) et + c2 (?)e3t x = c1 (e' + c2 (3) e3t ce() et (i)e * = C1 + C2 e-3t
One solution of x' = The general solution is 2 2 x+ b(e) is x(+) = (47 12 e34 Сі + C2 + ОВ. е“ e3t С1 + C2 + C3 e3t Int et Сі + C2 + C3 e3t In D. et est C1 + C2 + est Int OE Int
dr Consider the system: = 4x – 2y dy = x + y dt (a) Determine the type of the equilibrium point at the origin. (35 points) (b) Find all straight-line solutions and draw the phase portrait for the system. (35 points) (c) What is the general solution to the system? (15 points) (d) Find the solution of the system with initial conditions: x(0) = 1 and y(0) = -1. (15 points)
(3 points) (a) Find the general solution to
y′′+2y′=0. Give your answer as y=... . In your answer, use c1 and
c2 to denote arbitrary constants and x the independent variable.
Enter c1 as c1 and c2 as c2.
(3 points) (a) Find the general solution to y" + 2y' = 0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants and x the independent variable. Enter cı as c1 and C2...
Solve the equation. (2x)dx + (2y - 4x^y 'dy =0 by multiplying by the integrating factor. An implicit solution in the form F(x,y)=C is = C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) the solution y = 0 was lost the solution x = 0 was lost no solutions were lost
Solve the equation (3x2y-dx + y - 4x®y-dy=0 An implicit solution in the form F(x,y)=Cis-C, where is an arbitrary constant, and (Type an expression using x and y as the variables ) by multiplying by the integrating factor
(2) Find the general solution to c = Ax + b for each A and b given bellow (note you are explicitly given the exponential matrix etA for each case) A ( 0 1 . (a) A = 10 cos(t)) tA _/ cos(t) sin(t) | -1 0 1 – sin(t)) l - sin(t) cos(t), ( 1 ) A ( e(V3)+ 0 ) | -3t ) l 0 e-(2/3)t) 5e3t . (c) A= 7 let + le-t je3t – je-t (...
5. Consider the system of differential equations regarding x = c(t), y = y(t), and z = z(t): x' = 211 x + 212 y + 213 2 y = 221 x + 222 y + 223 2 z' = 231 2 + 232 y + 233 z where 211, 212,..., 233 are all real constants. Which of the following options could be a general solution of this system? (a) C C[-] é 2t + C2 eft (b) C-1 137...
a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...
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