Question

यदि e^{y} (x+1) = 1 है तो दर्शाइए कि d^{2}y/dx^{2} = (dy/dx)^{2} है।

Answer 1

d²y/dx² = (dy/dx)²  ,   यदि e^{y} (x+1) = 1

Step-by-step explanation:

e^{y} (x+1) = 1

दर्शाइए कि  d²y/dx² = (dy/dx)²

e^{y} (1)  +  (x + 1)e^{y} dy/dx  = 0

dy/dx = -1/(x + 1)

d²y/dx²  = -1(-1/(x + 1)²) * (1)

=> d²y/dx² = 1/(x + 1)²

dy/dx = -1/(x + 1)

(dy/dx)² = (-1/(x + 1))²

(dy/dx)² = 1/(x + 1)²

d²y/dx² = (dy/dx)²

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