" (oii) "cos ydx+(1+2e^(-x))sin ydy=0;y(0)=(n)/(4)

Find the particular solution of cos ydx+(1+2e^(-x))sin ydy=0 when x=0,y=(pi)/(4)

cosx cos ydy - sin x sin y dx =0

e^(x)tanydx+(1-e^(x))sec^(2)ydy=0

ydx+sqrt(1-x^(2))sin^(-1)xdy=0

The general solution of e^(x) cos ydx-e^(x) sin ydy=0 is

Find the particular solution of the differential equation e^(x)tan ydx+(2-e^(x))sec^(2)ydy=0 given that y=(pi)/(4) when x=0

The solution of 3e^(x) cos^(2) ydx+(1-e^(x)) cot y dy = 0 is

sec^(2)x sinydx+(1+tanx)cos ydy=0

Prove that (i) cos (n + 2) x cos (n+1) x +sin (n+2) x sin (n+1) x = cos x) (ii) " cos " .((pi)/(4)-x) " cos " .((pi)/(4)-y) " - sin " ((pi)/(4)-x ) " sin " ((pi)/(4) -y) =" sin " (x+y)

ydy+xe^(x)cos^(2)ydx=0