Q:

solve the following equation (d^2 y)/(dx^2 )-6 dy/dx+13y=0

hamza
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2022-05-18
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solve the following equation   (d^2 y)/(dx^2 )-6 dy/dx+13y=0

Mathematics,
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hamza
2022-05-18
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A.E. is                              m^2-6m+13=0
Or                         (m-3+2i)(m-3-2i)=0
Thus, the roots are m_1,2=3±2i, Y_(C.F.)  can be written as:  
〖Y_(G.S.)=Y〗_(C.F.)=e^3x (c_1  cos⁡2x+c_2  sin⁡2x )

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