Solving an equation with a parameter and a derivative

In summary, the conversation discussed two approaches for solving a problem involving a second derivative equation. The first approach involved rearranging the equation and identifying a constant, while the second approach involved substituting the previously found derivative into a second equation and solving for a variable. The thread was closed due to the OP repeatedly posting homework-type questions in the wrong forum section.
  • #1
homeworkhelpls
41
1
TL;DR Summary
For 3(i)(b) does anyone know how to find the value of k?
1676625636034.png
idk how to start after finding the second derivative
 

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  • #2
You have
$$
\frac{d^2y}{dx^2} = 4 - \frac{15}{4} \sqrt{x}
$$
You can either rearrange that equation so that it looks like
$$
\frac{d^2y}{dx^2} + k \sqrt{x} = 4
$$
and identify what ##k## is, or use a more robust approach by substituting the ##\frac{d^2y}{dx^2}## you have found into that second equation,
$$
\left(4 - \frac{15}{4} \sqrt{x} \right) + k \sqrt{x} = 4
$$
and solve for ##k##.
 
  • #3
Thread closed. The OP has been warned five times previously that homework-type questions must be posted in one of the forum sections devoted to homework questions.
 

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