Question

Solve the differential equation **T’(t) = k(T(t) −
TEnv)** and find the particular solution when the initial
temperature is 104.7

Answer #1

Solve the differential equation y'=K(A-y) for k=(1/10) and
A=70degreesF to find the temperature y(t) of a cup of coffee at any
time t, in minutes, if y(0) = 190degreesF and y(5) = 174degreesF,
with no cream added. Similarly, solve the differential equation to
find the temperature h(t) of a container of half+half at any time t
if h(0) = 40degrees and h(5) = 45degrees (w/o adding it to the
coffee)

(1 point) Solve the separable differential equation
?′(?)=√(4y(x)+32), and find the particular solution satisfying the
initial condition ?(1)=−4. ?(?)=__________.

Find a particular solution to the differential equation using
the Method of Undetermined Coefficients. 4.4.22
x''(t) - 10x'(t) + 25x(t) = 144t^2 * e^5t

Find a particular solution to the differential equation using
the Method of Undetermined Coefficients. x''(t)-18x'(t)+81x(t)=5t *
exp(9t)

) Solve the differential equation
dydt=
cos(t)y+sin(t)
using either the method of variation of parameters or the method of
integration factor. Clearly identify the integration factor or
parameter v(t) used (depending on which method you use).
Also identify the solution to the homogeneous equation, and the
particular solution. The use your solution to find the solution to
the IVP obtained by adding the initial condition y(0) = 1.

Consider the differential equation: .
Let y = f(x) be the particular solution to the differential
equation with initial condition, f(0) = -1.
Part (a) Find . Show or explain your work, do not
just give an answer.

B. a non-homogeneous differential equation, a complementary
solution, and a particular solution are given. Find a solution
satisfying the given initial conditions.
y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc=
C1e-x+C2e3x
yp = -2
C. a third-order homogeneous linear equation and three linearly
independent solutions are given. Find a particular solution
satisfying the given initial conditions
y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0
y1=ex, y2=e-x,,
y3= e-2x

Find the general solution to the given differential equation.
Then, use the initial condition to find the corresponding
particular solution.
?′−4? = 5?^4? ; ?(0) = 0

Find the particular solution of the differential equation that
satisfies the initial condition(s).
f "(x)=2, f '(2) = 5, f(2)=10

Find
a) the general solution of the differential equation y' = ( y^2
+ 1 ) ( 2x + 3)
b ) if the particular solution (if it exists) of the above
mentioned differential equation that satisfies the initial
condition y(0) = -1

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 54 seconds ago

asked 17 minutes ago

asked 34 minutes ago

asked 38 minutes ago

asked 54 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago