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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
???????????????????????
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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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This second order differential equation with constant coefficients. It has solutions of the form e^mx. The auxiliary equation is given by: \[m^2+m2=0 \implies (m+2)(m1)=0 \implies m=2, m=1\] Therefore, the general solution is: \[y(x)=c_1e^{2x}+c_2e^x\]

cj7529
 5 years ago
Best ResponseYou've already chosen the best response.0nice one thanks, i have seen that auxiliary equation before, when am i allowed to use it? What classification of equation?
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