Differential Equations

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Presentation transcript:

Differential Equations Rita Korsunsky

Differential Equations

Example 1

Example 2

Example 3 or

Example 4 Find the position s as a function of time t from the given velocity v = 3t2 if s0=4

Example 5 Find the velocity, v(t) and position, s(t) from the given acceleration, a, using initial conditions,if

Example 6 Solution: Given: A projectile is fired straight up from a platform 10 ft above the ground, with an initial velocity of 160 ft/sec. Its downward acceleration is 32 ft/sec2. Find an equation for the height of the projectile above the ground as a function of time t if t=0 when the projectile is fired. Solution: Given: