यदि `y=500e^(7x)+6007x^(-7x)` है, तो दर्शाइए कि `(d^(2)y)/(dx^(2))=49y` है।

यदि `y=500e^(7x)+6007x^(-7x)` है, तो दर्शाइ�

1.	यदि `y=500e^(7x)+6007x^(-7x)` है, तो दर्शाइए कि `(d^(2)y)/(dx^(2))=49y` है।
Answer» `y=500e^(7x)+600e^(-7x)` `rArr" "(dy)/(dx)=(d)/(dx)(500e^(7x)+600e^(-7x))` `" "=3500 e^(7x)-4200 e^(-7x)` `rArr" "(d^(2)y)/(dx^(2))=(d)/(dx)(3500e^(7x)-4200e^(-7x))` `" "=24500e^(7x)+29400e^(-7x)` `" "=49(500e^(7x)+600e^(-7x))=49y` `rArr" "(d^(2)y)/(dx^(2))=49y` यही दर्शाना था ।