DramaQueen001
Answered

Find a fundamental set of solutions {[tex] y_{1}(x) , y_{2}(x) [/tex]} of the equation
[tex] \frac{d^{2}y}{dx^{2}} + 16 \frac{dy}{dx} + 73y=0[/tex]

Answer :

LammettHash
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}+16\dfrac{\mathrm dy}{\mathrm dx}+73y=0\implies r^2+16r+73=0[/tex]
[tex]\implies r=-8\pm3i[/tex]
[tex]\implies\begin{cases}y_1=e^{-8x}\cos3x\\y_2=e^{-8x}\sin3x\end{cases}[/tex]

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