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Question
Verify y = log x + c is a solution of the differential equation
`x(d^2y)/dx^2 + dy/dx = 0`
Solution
y = log x + c
Differentiating w.r.t. x, we get
`dy/dx = 1/x`
∴ `x dy/dx = 1`
Again, differentiating w.r.t. x, we get
`x (d^2y)/dx^2 + dy/dx = 0`
∴ Given function is a solution of the given differential equation.
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