Find the general solution of the given differential equation.
3 dy dx + 21y = 7
give the largest interval i over which the general solution is defined. (think about the implications of any singular points. enter your answer using interval notation.)
determine whether there are any transient terms in the general solution.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

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step-by-step explanation:

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sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation: