Solving the differential equation dy/dt=ay-b

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🔍 Looking to solve a differential equation? 🤔 In this video, we'll solve the equation dy/dt=ay-b step by step! 💡 Follow along as we factor out the "a" from y, separate the variables, and anti-differentiate. 🧮 We'll also apply initial conditions and simplify to get our final answer y=y0-b/a * e^(at) + b/a. 💪 Whether you're studying calculus or just looking to refresh your math skills, this video is perfect for you! 🎓 Don't forget to like the video and subscribe to our channel for more math tutorials! 📈
Unravel the fascinating world of negative square roots with this easy-to-understand video. Questions addressed include:

Why can't you square root a negative number?
What square roots do negative numbers have?
Can you root negative numbers?
How to get the root of negative numbers?
➡️ Posted at 10:20 PM, Monday
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Thank you for this, so many solutions just write the steps out without explaining what they're doing. Sometimes it's easy for people to see, but sometimes it's not, so thank you for explaining as you go too!

robertc
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Great video! You did a better job explaining this than my professor 😂

anthonynguyen
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Thank you for the great explanation, there are so many different and complicated solutions out there and they are impossible to understand. I really understood what I'm doing thanks to this video. <3

eylulkaradeveci
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I am trying to do this with dy/dt=-ay+b. I am following your instructions and getting C(e^-at)+b/a. Apparently this is wrong. Any tips?

saberbomber