Arithmetic Course/Differential Equation/Second Order Equation

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Second Order Differential Equation[edit]

Second Ordered Differetial Equation has the general form

Which can be expressed as

Solving 2nd Ordered Differential Equation[edit]

Case 1[edit]

Case 2[edit]

Case 3[edit]

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle s = -\alpha x \pm j \lambda x}
Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle f(x)=Ae^{(}\alpha x)Sin\lambda x}