1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards
  3. CBSE Class 12 Sample Paper for 2020 Boards
Check sibling questions

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 Dec. 16, 2024 by Teachoo

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

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

    3. CBSE Class 12 Sample Paper for 2020 Boards

    CBSE Class 12 Sample Paper for 2019 Boards →
CBSE Class 12 Sample Paper for 2019 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

About the Author

Davneet Singh

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 and Computer Science at Teachoo