Ex: Linear Second Order Homogeneous Differential Equations - (two distict real roots)

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This video provides three example on how to find general solutions to linear second order homogeneous differential equations with constant coefficients when the characteristic equations has two real distinct roots.

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Hello, nice video, but why do we stipulate the solution would automatically be exponential function? I understand the idea of figuring out the equation through the exponential function, because if the coefficients are constants/x, you only have to figure out the argument. I only can think of 3 functions, that become "themselves" after 2x derivation - e^x, sinx, cosx and I also understand, there is a relation between these 3 functions given by Euler, I just can't wrap my mind around it :D The fact that in the beginning, we say 2 real roots, the solution is 100% an exponential function!

FF-wloo

in the third example its only 9 double prime. which is 0

Renigma

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