Analysis of the form `y = a sinx +- bcosx`

Fill ups The differential equation of the family of curves y=Asinx+Bcosx is…………….

Theory OF solutions OF equation OF the form asinx+bcosx=c and some basic illustration OF this form

Illustration given in H.W in Previous Class and Solution OF Equation OF the form asinx+bcosx=c

intdx/(asinx+bcosx)

intdx/(asinx+bcosx)

If y = log |(a-bcosx)/(a+bcosx)|, then show that dy/dy = (2ab sin x)/(a^2 - b^2 cos^2x)

Simplify : y = ( sinx + cosx ) times ( sinx - cosx )

Write the Order and degree of the differential equation whose general solution is y=A sinx +Bcosx.

The order of the differential equation formed by y=Asinx+Bcosx , where A and B are arbitary constants is ... a)1 b)2 c)0 d)3