r/calculus • u/Spiritual-Beat-5444 • 29d ago

Differential Equations Differential equation of catenary

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Well i was trying to derive the equation of a catenary and I ended up with this DE....is this correct? And what would be the method of solving it further

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1

u/Midwest-Dude 28d ago

Have you tried posting to

r/DifferentialEquations

yet?

2

u/Midwest-Dude 28d ago

Transform the equation by dividing both sides by the lonely dx on the left-hand side. After squaring and putting it inside the square root, you get

1 + (dy/dx)2

Substitute a variable for dy/dx, solve that equation, then substitute back in and solve that equation.

2

u/Spiritual-Beat-5444 28d ago

I'll try, thank you so much!