
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 9.2, 1Verify that the given functions(explicit or implicit) is a solution of the corresponding differential equation :๐ฆ=๐^๐ฅ+1 : ๐ฆ^โฒโฒโ๐ฆ^โฒ=0 ๐ฆ=๐^๐ฅ+1 ๐๐ฆ/๐๐ฅ=๐/๐๐ฅ (๐^๐ฅ+1) =๐^๐ฅ (๐^2 ๐ฆ)/(๐๐ฅ^2 )=๐/๐๐ฅ (๐๐ฆ/๐๐ฅ) = ๐^๐ฅ Now, we have to verify ๐ฆ^โฒโฒโ๐ฆ^โฒ=0 Taking L.H.S ๐ฆ^โฒโฒโ๐ฆ^โฒ =๐^๐ฅโ๐^๐ฅ =0 = R.H.S Hence verified.
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