If y = log (x + √ a2 + x2 ), show that (x2 +a2 ) d2y / dx2 + - Maths - Continuity and Differentiability

Question

If y = log (x + √ a2 + x2 ), show
that (x2 +a2 ) d2y /
dx2 + x dy/dx = 0

Abhishek Kr. Jha · Accepted Answer

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If y = log (x + √ a2 + x2 ), show that (x2 +a2 ) d2y / dx2 + x dy/dx = 0

If y = log (x + √ a² + x² ), show that (x² +a² ) d²y / dx² + x dy/dx = 0