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cj7529

  • 5 years ago

How can i find the general solution to the ordinary differential equation: Y''(x) + Y'(x) - 2Y(x) = 0 ???????????????????????

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  1. anonymous
    • 5 years ago
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    This second order differential equation with constant coefficients. It has solutions of the form e^mx. The auxiliary equation is given by: \[m^2+m-2=0 \implies (m+2)(m-1)=0 \implies m=-2, m=1\] Therefore, the general solution is: \[y(x)=c_1e^{-2x}+c_2e^x\]

  2. cj7529
    • 5 years ago
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    nice one thanks, i have seen that auxiliary equation before, when am i allowed to use it? What classification of equation?

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