Q10 of 29 Page 1

Find the differential equation representing the family of curves y = a ebx+5 , where a and b are arbitrary constants .

Given: Equation of curve: y = aebx+5

y = a ebx . e5

y = α ebx


where, ae5 = α


differentiate with respect to ‘x’


= α


∴ = by


= b


Again differentiating with respect to x,



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