Solve the vector initial-value problem for y t by integrating and using the initial conditions to find the constants of integration . y ′ t = cos t i + sin t j , y 0 = i − j
Solve the vector initial-value problem for y t by integrating and using the initial conditions to find the constants of integration . y ′ t = cos t i + sin t j , y 0 = i − j
Solve the vector initial-value problem for
y
t
by integrating and using the initial conditions to find the constants of integration.
y
′
t
=
cos
t
i
+
sin
t
j
,
y
0
=
i
−
j
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
(3xy +3y- 4)dx + (x + 1)²dy, do the following:
a. Find the P and Q functions fa FOLDE in standard form
b. Solve the integrating factor
C. Find the general solution
The velocity of a particle moving in the plane has components
dx
= 12t – 312 and-
dt
dy
= In(1 + (t – 4)*)
dt
At time t = 0, the position of the particle is (-13, 5). At time t= 2, the object is at point P with
x-coordinate 3.
Find the speed of the particle and its acceleration vector at t= 2.
Find the y-coordinate of P.
Write an equation for the tangent line to the curve at P.
Find the differential of the function
T = uw / 1+ uvw
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