Solve the vector initial-value problem for y t by integrating and using the initial conditions to find the constants of integration . y ′ t = 2 t i + 3 t 2 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 = 2 t i + 3 t 2 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
=
2
t
i
+
3
t
2
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.
Find the Integrating factor of:
dy
+ у. sec5x
tan5x
dx
1
(sec5x + tan5x) 5
sec5x — tan5х + 5
O sec5x + tan5x
O None
Find an integrating factor for the equation
-20p³ dp + –15pqª dq = 0
and transform it into an exact equation.
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.
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