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  4. The order of the differential equation of the family of curves y=(a/c)sin (b x)+3d x where a,b,c,d are arbitrary constants is

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Q. The order of the differential equation of the family of curves $y=\frac{a}{c}sin \left(b x\right)+3^{d x}$ where $a,b,c,d$ are arbitrary constants is

NTA AbhyasNTA Abhyas 2020Differential Equations

Solution:

Given equation is
$y=Asin \left(b x\right)+3^{d x}$
which has $3$ arbitrary constants, hence the order of the differential equation will be $3.$