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For a first order linear differential equation the solution process is as given below:
1. Place the differential equation in the correct initial form, (1).
2. Determine the integrating factor, µ (t) and using (10).
3. Multiply everything in the differential equation through µ (t) and verify that the left side turns into the product rule (µ (t) y(t))' and write this as such.
4. Integrate both sides; ensure you properly deal along with the constant of integration.
5. Resolve for the solution y(t).
assigenment of b.sc.1sem
what is the value of integration limit n-> infinity [n!/n to the power n]to the power 1/n Solution) limit n-->inf. [1 + (n!-n^n)/n^n]^1/n = e^ limit n-->inf. {(n!-n^n)
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Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms. It i
alternate segment theorum
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