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[" (n) Solue the diff eqh."],[(1+y^(2))d...

[" (n) Solue the diff eqh."],[(1+y^(2))dn=(tan^(-1)y-x)dy]

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

The solution of (1 + y^(2)) dx = (Tan^(-1) y -x) dy is

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

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

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

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

The solution of the differential equation (1+y^(2)) tan^(-1) x dx + y(1+x^(2)) dy = 0 is

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