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" 3."x(dy)/(dx)-y=2x^(2)cosec2x...

" 3."x(dy)/(dx)-y=2x^(2)cosec2x

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The solution of x(dy)/(dx) -y = 2x^(2) cosec 2x is

x(dy)/(dx)+y=y^(2)x^(3)cos x

x (dy)/(dx) - y = 2x ^(3)

Solve: (dy)/(dx)+2ycotx=3x^2cosec^2x

Solve: (dy)/(dx)+2ycotx=3x^2cosec^2x

x(dy)/(dx)+y=3x^(2)-2,x>0

The solution of the differential equation (dy)/(dx)+2ycotx=3x^2cosec^2x is

(dy)/(dx)-y cot x=csc x

The solution of 2x(dy)/(dx) + y = 2x^(3) is

If y=e^(sinx)+(tanx)^(x)," prove that "(dy)/(dx)=e^(sinx)cosx+(tanx)^(x)[2x" cosec "2x+log tanx].