(1+x²)dy/dX=(1+y²) solve the differential equation
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Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.
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Step-by-step explanation:
The given differential equations is…
(1+x2)dy=(1+y2)dx
To solve this equation using separation method…
dx1+x2=dy1+y2
⇒tan−1(x)−tan−1(y)=tan−1(C)
⇒tan−1x−y1+xy=tan−1(C)
⇒x−y1+xy=C
⇒x−y=C(1+xy)
Where 'C' being arbitrary constants.
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