CBSE Class 12 Sample Paper for 2020 Boards

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Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 20 - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

Write the general solution of differential equation dy/dx = e (x+y)

Write the general solution of differential equation dy/dx = e^(x+y)

Question 20 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

Transcript

Question 20 Write the general solution of differential equation 𝑑𝑦/𝑑𝑥 = 𝑒^(𝑥+𝑦) Given 𝑑𝑦/𝑑𝑥 = 𝑒^(𝑥+𝑦) 𝑑𝑦/𝑑𝑥 = 𝑒^𝑥.𝑒^𝑦 𝑑𝑦/𝑒^𝑦 = 𝑒^𝑥 𝑑𝑥 e^(−𝑦) 𝑑𝑦 = 𝑒^𝑥 𝑑𝑥 Integrating both sides ∫1▒〖e^(−𝑦) 𝑑𝑦〗 = ∫1▒〖𝑒^𝑥 𝑑𝑥" " 〗 −𝑒^(−𝑦) = 𝑒^𝑥+𝑐 0 = 𝑒^𝑥+𝑒^(−𝑦)+ C Or we can write it as 𝒆^𝒙+𝒆^(−𝒚)= C Thus, the general solution is 𝒆^𝒙+𝒆^(−𝒚)= C

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.