CBSE Class 12 Sample Paper for 2021 Boards
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CBSE Class 12 Sample Paper for 2021 Boards
Last updated at December 16, 2024 by Teachoo
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Transcript
Question 35 Find the general solution of the following differential equation: š„ šš¦ ā (š¦ + 2š„2 )šš„ = 0 Given š„ šš¦ = (š¦ + 2š„2 )šš„ šš¦/šš„=(š¦ + 2š„^2)/š„ šš¦/šš„=š¦/š„+2š„ š š/š šāš/š=šš Comparing with š š/š š + Py = Q ā“ P = (ā1)/š„ and Q = 2x Find integrating factor IF IF = e^ā«1āššš„ IF = š^ā«1āć(ā1)/š„ šš„ć IF = š^(ālogā”š„ ) IF = š^logā”ć(š„)^(ā1) ć IF = š^ćlog ćā”ć1/š„ć IF = š/š Solution of the equation y Ć I.F = ā«1āćšø Ć š°.š.š š+š ć Putting values, š¦ Ć1/š„ = ā«1āć2š„ Ć1/š„ šš„ć+š¶ š¦/š„ = ā«1ā2šš„+š¶ š¦/š„ = 2š„+š¶ š = šš^š+šŖš
