Continuity and Differentiability
Discuss the continuity of the function f given by f(x)=∣x∣atx=0.
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Find the general solution of each of the following differential equations:xdxdy=y(logy−logx+1)
Find the general solution for the following differential equation.(x−y3)dxdy+y=0
Find the general solution of each of the following differential equations:x2dxdy+y2=xy
Find a particular solution satisfying the given condition for the following differential equation.dxdy+2xy=x, given that y=1 when x=0.
Verify the Mean Value Theorm for f(x)=x2 in the interval [2,4].
The solution of the D.E. dxdy=2x+y is
The general solution of the D.E. x1+y2dx+y1+x2dy=0 is