Abel's theorem: Difference between revisions

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(Created page with "Category:Differential Equations '''Abel's theorem''' in linear differential equations states that for any second order linear homogeneous ODE, <math> y'' + p(t)y'+q(t)y=0 </math> Given <math>y_1, y_2</math> as particular solutions to the ODE, then the Wronskian of the two solutions can be described in terms of the ODE's coefficients as <math> W(t)=Ce^{\int p(x)dx} </math>")
 
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[[Category:Differential Equations]]
[[Category:Differential Equations]]
 
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'''Abel's theorem''' in linear differential equations states that for any [[second order linear ODE|second order linear homogeneous ODE]],
 
<math>
y'' + p(t)y'+q(t)y=0
</math>
 
Given <math>y_1, y_2</math> as particular solutions to the ODE, then the [[Wronskian]] of the two solutions can be described in terms of the ODE's coefficients as
 
<math>
W(t)=Ce^{\int p(x)dx}
</math>

Revision as of 22:00, 21 May 2024

I don't know what this is

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