Continuity and Differentiability
Differentiate the functions given w.r.t. x:(x−3)(x−4)(x−5)(x−1)(x−2)
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The general solution of the D.E. xdxdy=y+xtanxy is
Find the particular solution of the following differential equation:secy(1+x2)dy+2xtanydx=0, given that y=4π, when x=1.
Find dxdy in the following:sin2y+cosxy=π
y=x2+cosxFind a particular solution satisfying the given condition for the following differential equation.dxdy+ytanx=2x+x2tanx, given that y=1 when x=0.
Using mathematical induction prove that dxd(xn)=nxn−1 for all positive integers n.
The solution of the D.E. xdxdy=coty is
Verify Mean Value Theorem, if f(x)=x2−4x−3 in the interval [a, b], where a=1andb=4.
Find the general solution of the following differential equations:dxdy+xy+xxy+y=0.