Find the integrating factor for which
sin x
cot x
cosec^2 x
ln|cot x|
Hense solve.
y= cos x + cot x ln|sinx| + c
y = tan x + ln|cot x|
y = cosec x + cot x ln|cot(x/2)|+ c
y=sin x - tan x ln|tan(x/2)| + c
Find the complimentry function of the following differential equation.
y=e^-2x (Acos √3x + Bsin √3x)
y= Ae^2x +Bie^3x
y= Ae^√3ix + Bcos 2x
y= e^4x +A
Find the particular integral.
y= 4e^-x + 6sin x + 4cos x
y= e^-2x (Acos √3x + Bsin √3x)
y=(3/4)e^-x + (6/5) sin x - (4/5) cos x
y = e^x + 4sin x + 7cos x