Question

In: Advanced Math

Solve the given system of differential equations by systematic elimination. 2 dx dt − 6x +...

Solve the given system of differential equations by systematic elimination.

2
dx
dt
− 6x +
dy
dt
= et
dx
dt
− x +
dy
dt
= 3et

Solutions

Expert Solution

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

Use the Laplace transform to solve the given system of differential equations. dx/dt + 2x +dy/dt=...
Use the Laplace transform to solve the given system of differential equations. dx/dt + 2x +dy/dt= 1 dx/dt− x+ dy/dt− y= e^t x(0) = 0, y(0) = 0
Use the Laplace transform to solve the given system of differential equations. dx/dt + 3x +...
Use the Laplace transform to solve the given system of differential equations. dx/dt + 3x + dy/dt = 1 dx/dt − x + dy/dt − y = e^t x(0) = 0, y(0) = 0
Solve the given system of differential equations by systematic elimination. (D2 − 1)x − y =...
Solve the given system of differential equations by systematic elimination. (D2 − 1)x − y = 0 (D − 1)x + Dy = 0 I had this as my answer and webassign rejected it: (x(t), y(t)) = c_1e^t+e^{-\left(\frac{t}{2}\right)}\left(c_2\cos \left(\frac{\sqrt{3}}{2}t\right)+c_3\sin \left(\frac{\sqrt{3}}{2}t\right)\right),e^{-\left(\frac{t}{2}\right)}\left(\left(-\frac{3}{2}c_2-\frac{3\sqrt{3}.}{4}c_3\right)\cos \left(\frac{\sqrt{3}}{2}t\right)+\left(\frac{-3}{2}c_3+\frac{3\sqrt{3}}{4}c_2\right)\sin \left(\frac{\sqrt{3}}{2}t\right)\right)
Solve the given system of differential equations by systematic elimination. (D + 1)x + (D −...
Solve the given system of differential equations by systematic elimination. (D + 1)x + (D − 1)y = 6 ; 7x + (D + 6)y = −1
Solve the given system of differential equations by systematic elimination. (D − 1)x + (D2 +...
Solve the given system of differential equations by systematic elimination. (D − 1)x + (D2 + 1)y = 1 (D2 − 1)x + (D + 1)y = 2 (x(t), y(t)) =
Find the general solution of the given system. dx dt = 6x + y dy dt...
Find the general solution of the given system. dx dt = 6x + y dy dt = −2x + 4y [x(t), y(t)]= _____________, _______________ (6c1​+8c2​)10​sin(6t)+(6c2​+8c1​)10​cos(6t), c1​cos(6t)+c2​sin(6t) ^above is the answer I got, which is incorrect.   
2)   Solve the system of equations below           dx/dt – 3x – 6y = t^2          ...
2)   Solve the system of equations below           dx/dt – 3x – 6y = t^2           dx/dt + dy/dt – 3y = e^t
Solve the system of equation by method of elimination. dx/dt + x−5y = 0, 4x +dy/dt+...
Solve the system of equation by method of elimination. dx/dt + x−5y = 0, 4x +dy/dt+ 5y = 0, x(0) = −1, y(0) = 2.
Find the general solution of the given system. dx/dt=6x-y dy/dt=5x+4y
Find the general solution of the given system. dx/dt=6x-y dy/dt=5x+4y
Solve the given initial-value problem. dx/dt = y − 1 dy/dt = −6x + 2y x(0)...
Solve the given initial-value problem. dx/dt = y − 1 dy/dt = −6x + 2y x(0) = 0, y(0) = 0
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT