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" 3."(dy)/(dx)+y=1(y!=1)...

" 3."(dy)/(dx)+y=1(y!=1)

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y(dy)/(dx)=1+y^(2)

solve (dy)/(dx)=(x+y)^(1/3)

Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1