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Differential Equations: Solve the equation: (1+x^2) dy + (1 + y^2) dx = 0 ; y(1) = 0
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separable
use a trig sub
Question: Is it not an exact equation?
actuallly lets check
dm/dy=dn/dx if its exat
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nope its not exact
in general an equal is exact if the equation can be written in the form Grad F
My = 0 and Nx = 0, right?
no its 2y and 2x
if M = (1 + x^2) and N = (1 + y^2)
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no switch it
notice they wrote the order dy dx
ally its dx then dy
usually*
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