About Equation HACS.1.1

top up back next into bottom


\begin{equation*} 
\begin{split} 
x \frac{\partial y (x)}{\partial x} + \bigl(x^{2} - 1\bigr) \frac{\partial^{2} y (x)}{\partial x^{2}}& =0 
\end{split} 
\end{equation*}
Absolute reference: HACS:diffeq

LaTeX encoding

top up back next into bottom
x \frac{\partial y (x)}{\partial x} + \bigl(x^{2} - 1\bigr) \frac{\partial^{2} y (x)}{\partial x^{2}} = 0

Maple encoding

top up back next into bottom
x*diff(y(x),x)+(x^2-1)*diff(diff(y(x),x),x) = 0

MathML encoding

top up back next into bottom
<math xmlns='http://www.w3.org/1998/Math/MathML'><semantics><mrow xref='id23'><mrow xref='id21'><mrow xref='id7'><mi xref='id1'>x</mi><mo>&InvisibleTimes;</mo><mfenced><mrow xref='id6'><mfrac><mo>&DifferentialD;</mo><mrow><mo>&DifferentialD;</mo><mi xref='id2'>x</mi></mrow></mfrac><mrow xref='id5'><mi xref='id3'>y</mi><mo>&ApplyFunction;</mo><mfenced><mi xref='id4'>x</mi></mfenced></mrow></mrow></mfenced></mrow><mo>+</mo><mrow xref='id20'><mfenced><mrow xref='id12'><mrow xref='id10'><msup><mi xref='id8'>x</mi><mn xref='id9'>2</mn></msup></mrow><mo>-</mo><mn xref='id11'>1</mn></mrow></mfenced><mo>&InvisibleTimes;</mo><mfenced><mrow xref='id19'><mfrac><mo>&DifferentialD;</mo><mrow><mo>&DifferentialD;</mo><mi xref='id13'>x</mi></mrow></mfrac><mrow xref='id18'><mfrac><mo>&DifferentialD;</mo><mrow><mo>&DifferentialD;</mo><mi xref='id14'>x</mi></mrow></mfrac><mrow xref='id17'><mi xref='id15'>y</mi><mo>&ApplyFunction;</mo><mfenced><mi xref='id16'>x</mi></mfenced></mrow></mrow></mrow></mfenced></mrow></mrow><mo>=</mo><mn xref='id22'>0</mn></mrow><annotation-xml encoding='MathML-Content'><apply id='id23'><eq/><apply id='id21'><plus/><apply id='id7'><times/><ci id='id1'>x</ci><apply id='id6'><diff/><bvar><ci id='id2'>x</ci></bvar><apply id='id5'><ci id='id3'>y</ci><ci id='id4'>x</ci></apply></apply></apply><apply id='id20'><times/><apply id='id12'><minus/><apply id='id10'><power/><ci id='id8'>x</ci><cn id='id9' type='integer'>2</cn></apply><cn id='id11' type='integer'>1</cn></apply><apply id='id19'><diff/><bvar><ci id='id13'>x</ci></bvar><apply id='id18'><diff/><bvar><ci id='id14'>x</ci></bvar><apply id='id17'><ci id='id15'>y</ci><ci id='id16'>x</ci></apply></apply></apply></apply></apply><cn id='id22' type='integer'>0</cn></apply></annotation-xml><annotation encoding='Maple'>x*diff(y(x),x)+(x^2-1)*diff(diff(y(x),x),x) = 0</annotation></semantics></math>
 
 
 
This web site is compliant with HTML 4.01 and CSS 1.
Copyright © 2001-2003 by the Algorithms Project and INRIA.
All rights reserved. Created: Aug 1 2003 15:12:53.