Continuity and Differentiability
Differentiate the following w.r.t. x:log(logx),x>1
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Find the general solution for the following differential equation.dxdy+ycotx=x2cotx+2x
Using the fact that sin(A+B)=sinAcosB+cosAsinB and the differentiation, obtain the sum formula for cosines.
Find a particular solution satisfying the given condition for the following differential equation.dxdy+ycotx=4x cosecx, given that y=0 when x=2π.
The solution of the D.E. dxdy=1−x+y−xy is
Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.
Find the derivative of tan (2x+3).
Find the general solution for the following differential equation.dxdy+3y=e−2x