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Mechdude
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Homework Statement
does this ode have a general solution?
\frac{d^2 x}{d t^2} + \frac{k}{L -x} = 0<br />
Finding general solution of (d^2 x)/dt^2 + k/(L-x) = 0
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SUMMARY
The ordinary differential equation (ODE) \(\frac{d^2 x}{dt^2} + \frac{k}{L - x} = 0\) has a general solution when \(k\) and \(L\) are treated as constants. The standard procedure for solving such second-order ODEs involves integrating the equation twice. This confirms that a general solution exists for the given equation.
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- Study methods for solving second-order ordinary differential equations
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Students and professionals in mathematics, physics, and engineering who are dealing with ordinary differential equations and their solutions.
does this ode have a general solution?
\frac{d^2 x}{d t^2} + \frac{k}{L -x} = 0<br />
- #2
tiny-tim
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Mechdude said:
(if k and L are constants …)
Yes of course it does. Use standard procedure.
