Continuity and Differentiability
Find the derivative of the function given by f(x)=(1+x)(1+x2)(1+x4)(1+x8)and hence find fprime(1).
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Find the particular solution of differential equation xsin2xy−ydx+xdy=0, it being given that y=4π when x=1
Find the general solution for the following differential equation.dxdy+x1.y=x2
If x and y are connected parametrically by the equations given, without eliminating the parameter, Find dxdy.x=4t,y=t4
The general solution of the D.E. xdxdy=y+xtanxy is
Find the general solution for the following differential equation.xdxdy−y=x+1
The general solution of the D.E. (x−y)dy+(x+y)dx is
Differentiate the following w.r.t. x:ex,x>0
The general solution of the D.E. x1+y2dx+y1+x2dy=0 is