Question

(differential equations): solve for x(t) and y(t)

2x' + x - (5y' +4y)=0

3x'-2x-(4y'-y)=0

note: Prime denotes d/dt

Answer #1

Solve the given system of differential equations by
elimination.
x'-2x-y = 1
x+y'-4y=0

Differential Equations. Solve the following IVP. Y''(Double
Prime) + 6Y'(Prime)+5Y =0, Y'(Prime)(0) =0, Y(0)=1

solve for x(t) and y(t):
x'=-3x+2y;
y'=-3x+4y
x(0)=0,y(0)=2

Solve the differential equation
(2x+y′+3)y′′=3x+4y′−1

Choose the augmented matrix that can used to solve this system
of equations:
3x+4y+2z=1
-2x+9y-z=0
-5y+21z=12

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

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 differential equations
(2D^2 + D - 3)y = 2x - 3x^2

(a) Solve the differential equations.
4y´´ + 12y´ + 9y= 0
(b) Find the general solution of the ODE
y´´- 5y´+4y=e^4t
(c) Solve the following initial value problem:
y´´+ y =0, y(0)=2, y´(0)=2

Solve the system of equations given below. 2x+5y+z= -1, 3x-5y-z=
6, 5x+y+3z= 10.

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