Q. 255.0( 2 Votes )

# Find the particul

Answer :

Given,

(tan-1 y – x)dy = (1 + y2)dx Clearly this is a linear differential equation. Comparing with the standard form Solution of such equation is given by:

x(I.F) = where I.F = integrating factor

We get P(y) = & Q(y) = Integrating factor I.F is given : I.F = We know that: I.F = Solution is given as:  …(1)

Where I = Let tan-1y = u

du = I = Using integration by parts:

I = I = I = solution is given using equation 1:  …(2)

As we have to find particular solution, so we need to find value of C.

Given: x = 0, y = 0

putting the values in eq (2)

0 = tan-1(0) – 1 + C = 1

particular solution is – Rate this question :

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