Continuity and Differentiability
Find dxdy, if y=sin−1x+sin−11−x2,−1≤x≤1.
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Find a particular solution satisfying the given condition for the following differential equation.(1+x2)dxdy+2xy=4x2, given that y=0 when x=0.
Find the general solution of each of the following differential equations:(x2y−x2)dx+(xy2−y2)dy=0.
The general solution of the D.E. dxdy+ytanx=secx is
Find the derivative of / given by f(x)=tan−1xassuming it exists.
Find the general solution of each of the following differential equations:ey(1+x2)dy−yxdx=0.
Differentiate sin(cos(x2)) with respect to x.
The solution of the D.E. dxdy=(1+x2)(1+y2) is