" Yef "(x+y+1)^(2)dy=dx,quad y(-1)=0

An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx and y(1) = 0 is

An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx and y(1) = 0 is

An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx and y(1) = 0 is

(1+x+xy^(2))(dy)/(dx)+(y+y^(3))=0

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

y(1-x^(2))dy=x(1+y^(2))dx

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

(1-y)x(dy)/(dx)+(1+x)y=0

If x dy = y (dx + y dy), y > 0 and y (1) = 1, then y (−3) is equal to _________.

(1+x^(2))dx+(1+y^(2))dy=0