Question

$\small{\sf{verify \: that \: y = \frac{a}{x} + b \: \: is \: a \:}} \\ \small {\sf{solution \: of \: differential \: equation}}$
${\sf{ \frac{ {d}^{2}y }{d {x}^{2} } + \frac{2}{x}( \frac{dy}{dx} ) = 0 }}$
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Answer 1

Step-by-step explanation:

given you=a/x+b

on differentiating with x we get

dy/dx= -(a/x²)

on differentiating again with x we get

d²y/dx²

d²y/dx²+(2/x) (dy/dx) =(2a/x³) - (2a/x³) =0

hence conclusion

y=(a/x)+b

is the soln. of( d²y/dx²)+(2/x) (dy/dx) =0

hope it is helpful

Answer 2

I hope it is hopefull

please give me brain list and thanks