Question

Solve the given system of differential equations by elimination.

x'-2x-y = 1

x+y'-4y=0

Answer #1

(differential equations): solve for x(t) and y(t)
2x' + x - (5y' +4y)=0
3x'-2x-(4y'-y)=0
note: Prime denotes d/dt

Solve the system of differential equations by systematic
elimination.
x '= y
y' = x + y- 1.

Solve the given system of differential equations by systematic
elimination.
(D + 1)x + (D
− 1)y
=
8
9x + (D +
8)y
=
−1

Find the solution to the linear system of differential
equations
{x′ = 6x + 4y
{y′=−2x
satisfying the initial conditions x(0)=−5 and
y(0)=−4.
x(t) = _____
y(t) = _____

solve the following system of differential equations
and find the general solution
(D+3)x+(D-1)y=0 and 2x+(D-3)y=0
please show the steps

differential equations solve
(2xy+6x)dx+(x^2+4y^3)dy, y(0)=1

Solve the following system of differential equations. Express
your answer as functions of x and y in terms of t.
x' − 2x − y = −e^t
−3x +y' − 4y = −7e^t

Solve the following differential equations
y''-4y'+4y=(x+1)e2x (Use Wronskian)
y''+(y')2+1=0 (non linear second order equation)

Use the Laplace transform to solve the given system of
differential equations. dx dt = −x + y dy dt = 2x x(0) = 0, y(0) =
2

1. Solve the following system of equations by the elimination
method:
2x+y-z=7
x+2y+z=8
x-2y+3z=2
2. Solve the following system of equations by using row
operations on a matrix:
2x+y-z=7
x+2y+z=8
x-2y+3z=2

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