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For each of the differential equations,Find the values of $b$ that make the general solution: (a) overdamped, (b) underdamped, (c) critically damped. $$s^{\prime \prime}+b s^{\prime}+5 s=0$$
Hello the level you are going to solve the problem number 44. For the first order linear differential equation. Ship of Bernales equations. Okay, so we have to get the general solution for the following the french equation. X. Dy mighty X plus two. Y equal. Bye. Sign X over X. Okay, so for number eight the by using case or C. S. So that or any device. So we can just get the general solution for that differential equations. So it will be y equal see at the constant -5 design X over X squared. And that's a general solution. Okay, for number B. Okay. For number B the particular solution that satisfies that boundary condition. Why? Oh boy equal zero is that's why you will be equal negative boy minus phi cuisine X over X squared. Okay, so we saw substitute would see equal. Bye. Okay. Okay, so for number see okay, we have to get the graph of the particular solution over the interval boy over to and five boy over to. So it will be as soon. Okay, so that's like half of the main uh that differential equation of the particular studios. Okay, Thanks for watching. And see you see you in the next differential equation. See you later.
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