About Equation AHCS.1.1

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\begin{equation*} 
\begin{split} 
\bigl(2 x^{2} + 1\bigr) \frac{\partial y (x)}{\partial x} + \bigl(x^{3} + x\bigr) \frac{\partial^{2} y (x)}{\partial x^{2}}& =0 
\end{split} 
\end{equation*}
Absolute reference: AHCS:diffeq

LaTeX encoding

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\bigl(2 x^{2} + 1\bigr) \frac{\partial y (x)}{\partial x} + \bigl(x^{3} + x\bigr) \frac{\partial^{2} y (x)}{\partial x^{2}} = 0

Maple encoding

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(2*x^2+1)*diff(y(x),x)+(x^3+x)*diff(diff(y(x),x),x) = 0

MathML encoding

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<math xmlns='http://www.w3.org/1998/Math/MathML'><semantics><mrow xref='id29'><mrow xref='id27'><mrow xref='id13'><mfenced><mrow xref='id7'><mrow xref='id5'><mn xref='id1'>2</mn><mo>&InvisibleTimes;</mo><mrow xref='id4'><msup><mi xref='id2'>x</mi><mn xref='id3'>2</mn></msup></mrow></mrow><mo>+</mo><mn xref='id6'>1</mn></mrow></mfenced><mo>&InvisibleTimes;</mo><mfenced><mrow xref='id12'><mfrac><mo>&DifferentialD;</mo><mrow><mo>&DifferentialD;</mo><mi xref='id8'>x</mi></mrow></mfrac><mrow xref='id11'><mi xref='id9'>y</mi><mo>&ApplyFunction;</mo><mfenced><mi xref='id10'>x</mi></mfenced></mrow></mrow></mfenced></mrow><mo>+</mo><mrow xref='id26'><mfenced><mrow xref='id18'><mrow xref='id16'><msup><mi xref='id14'>x</mi><mn xref='id15'>3</mn></msup></mrow><mo>+</mo><mi xref='id17'>x</mi></mrow></mfenced><mo>&InvisibleTimes;</mo><mfenced><mrow xref='id25'><mfrac><mo>&DifferentialD;</mo><mrow><mo>&DifferentialD;</mo><mi xref='id19'>x</mi></mrow></mfrac><mrow xref='id24'><mfrac><mo>&DifferentialD;</mo><mrow><mo>&DifferentialD;</mo><mi xref='id20'>x</mi></mrow></mfrac><mrow xref='id23'><mi xref='id21'>y</mi><mo>&ApplyFunction;</mo><mfenced><mi xref='id22'>x</mi></mfenced></mrow></mrow></mrow></mfenced></mrow></mrow><mo>=</mo><mn xref='id28'>0</mn></mrow><annotation-xml encoding='MathML-Content'><apply id='id29'><eq/><apply id='id27'><plus/><apply id='id13'><times/><apply id='id7'><plus/><apply id='id5'><times/><cn id='id1' type='integer'>2</cn><apply id='id4'><power/><ci id='id2'>x</ci><cn id='id3' type='integer'>2</cn></apply></apply><cn id='id6' type='integer'>1</cn></apply><apply id='id12'><diff/><bvar><ci id='id8'>x</ci></bvar><apply id='id11'><ci id='id9'>y</ci><ci id='id10'>x</ci></apply></apply></apply><apply id='id26'><times/><apply id='id18'><plus/><apply id='id16'><power/><ci id='id14'>x</ci><cn id='id15' type='integer'>3</cn></apply><ci id='id17'>x</ci></apply><apply id='id25'><diff/><bvar><ci id='id19'>x</ci></bvar><apply id='id24'><diff/><bvar><ci id='id20'>x</ci></bvar><apply id='id23'><ci id='id21'>y</ci><ci id='id22'>x</ci></apply></apply></apply></apply></apply><cn id='id28' type='integer'>0</cn></apply></annotation-xml><annotation encoding='Maple'>(2*x^2+1)*diff(y(x),x)+(x^3+x)*diff(diff(y(x),x),x) = 0</annotation></semantics></math>
 
 
 
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