Q9 of 76 Page 929

Find the general solution of each of the following differential equations:

e^2xe ^{- 3y}dx + e^2ye ^{- 3x}dy = 0

Rearringing the terms we get:

e^{2x + 3x}dx = - e^{2y + 3y}dy

⇒e^5xdx = - e^5ydy

Integrating both the sides we get:

⇒e^5x + e^5y = 5c’ = c

Ans: e^5x + e^5y = c

Find the general solution of each of the following differential equations:

e^x tan y dx + (1 – e^x) sec² y dy = 0

Find the general solution of each of the following differential equations:

sec²x tan y dx + sec²y tan x dy = 0