I Solving an equation with a parameter and a derivative

AI Thread Summary
To solve the equation involving the second derivative, one can rearrange it to identify the parameter k or substitute the found second derivative into the equation to solve for k. The equation can be expressed as d²y/dx² + k√x = 4, allowing for the identification of k. Alternatively, substituting the second derivative into the equation simplifies the process. The thread was closed due to repeated violations of posting guidelines regarding homework questions.
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For 3(i)(b) does anyone know how to find the value of k?
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idk how to start after finding the second derivative
 

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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##.
 
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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