Find the value of gamma for which this ivp is critically, Mathematics

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Find the value of gamma for which this ivp is critically

Consider a modification of the previous problem, where there is damping.

3. 2 y" + γy' +80 y = 0

y(0) = -2

y'(0) = 15

a. Find the value of γ for which this IVP is critically damped.

b. Solve the IVP for that value of γ.

c. How many times does the graph of y(t) cross the x-axis?

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Mathematics: Find the value of gamma for which this ivp is critically

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Mathematics: Find the value of gamma for which this ivp is critically

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