1.

Find the differential equation representing the family of curves `y=ae^(bx+5)`, where a and b are arbitrary constants.

Answer» `y=ae^(bx+5)`
`(dy)/(dx)=ae^(bx+5)xxb`
`(d^2y)/(dx)^2=ab^2e^(bx+5)=bdy/dx=(dy/dx)^2xx1/y`


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