y'' + y/x^6=0

asked by guest
on Nov 29, 2024 at 2:26 pm



You asked:

Investigate the equation: y′′+yx6=0y^{\prime \prime} + \frac{y}{{x}^{6}} = 0.

MathBot Answer:

y(x)=x(C2Y−14(−12x2)+1x24C1J−14(12x2)−1x24)y{\left(x \right)} = \sqrt{x} \left(C_{2} Y_{- \frac{1}{4}}\left(- \frac{1}{2 x^{2}}\right) + \frac{\sqrt[4]{\frac{1}{x^{2}}} C_{1} J_{- \frac{1}{4}}\left(\frac{1}{2 x^{2}}\right)}{\sqrt[4]{- \frac{1}{x^{2}}}}\right)

C1C_{1}, C2C_{2} are arbitrary constants.

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