solve the differentilal equation 1+(dy/dx)^2=(d^2y/dx)y

solving a second order differential equation
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Question: solve the differentilal equation 1+(dy/dx)^2=(d^2y/dx)y .

By observation: y = cosh(x)

Or, more generally, y(x) = a*cosh(x/a)

by Level 11 User (81.5k points)

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