Question

Please right the answer with all step

Q5. Check whether the following statement is true or false. \( \frac{d^{2} y}{d x^{2}}+y^{2}=0 \) is non-linear equation.

Answer 1

Explanation:

Incorrect. For a function that has a second derivative of 0, that means the function have no concavity. Linear function have no concavity thus this statement is not true.

Non linear function such as quadratic actually have concavity

The second derivative of the function

`y = {x}^(2)`

Is

`y = 2`

Since this is a non zero constant function, it implies that the function has positive concavity(concave up) thourghout