Continuity and Differentiability
Find dxdy in the following:x2+xy+y2=100
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The solution of the D.E. cosx(1+cosy)dx−siny(1+sinx)dy=0 is
Find the general solution for the following differential equation.2xdxdy+y=6x3
Find the particular solution of each of the following differential equations when x=2,y=πxdxdy−y+xsinxy=0
The solution of the D.E. xdy+ydx=0 is
Solve the differential equation dxdy=ysin2x, given that y(0)=1.
Verify Mean Value Theorem, if f(x)=x2−4x−3 in the interval [a, b], where a=1andb=4.
Differentiate the functions with respect to xcosx3sin˙2(x5)
The solution of the D.E. dxdy=1+cosx1−cosx is