Question

Find the solution to the linear system of differential equations

{*x*′ = 6x + 4y

*{y*′=−2*x*

satisfying the initial conditions *x*(0)=−5 and
*y*(0)=−4.

x(t) = _____

y(t) = _____

Answer #1

Find the solution to the linear system of differential
equations: x'= -19x+30y y'= 10x+16y Satisfying the initial
conditions: x(0)= -7 y(0)= -5

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

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

1. Find the general solution of each of the following
differential equations a.) y' − 4y = e^(2x) b.) dy/dx = 1/[x(y −
1)] c.) 2y'' − 5y' − 3y = 0

Find the solution to the system of differential equations:
x' = y x(0) = 0
y' = 18x-3y y(0) = 1
Find: x(t) = ? y(t) = ?

Consider the following linear system (with real eigenvalue)
dx/dt=-2x+7y
dy/dt=x+4y
find the specific solution coresponding to the initial values
(x(0),y(0))=(-5,3)

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

Find a particular solution to the given linear system of
differential equations:
dx1/dt = 4x1 + 5x2
dx2/dt = x1 + 8x2
, with initial conditions x1(0) = 6, and
x2(0) = 0.

Initial value problem : Differential equations:
dx/dt = x + 2y
dy/dt = 2x + y
Initial conditions:
x(0) = 0
y(0) = 2
a) Find the solution to this initial value problem
(yes, I know, the text says that the solutions are
x(t)= e^3t - e^-t and y(x) = e^3t + e^-t
and but I want you to derive these solutions yourself using one
of the methods we studied in chapter 4) Work this part out on paper
to...

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

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