Hello - I asked a similar question before, but it was not resolved for me, and the person who answered was rude, so I did not continue the conversation.(adsbygoogle = window.adsbygoogle || []).push({});

I read this here: http://tutorial.math.lamar.edu/Classes/DE/SecondOrderConcepts.aspx

"If y_1(t) and y_2(t)are two solutions to a linear, homogeneous differential equation then so is

y(t) = c_1 y_1(t) + c_2 y_2(t), and it states that this is the general solution.

I don't understand this: if y_1(t) and y_2(t) are solutions, then we should be done, right? We have our solutions. Why are we interested in making another solution? And, why is the sum of the solutions with multipliers the "general solution", and the other two solutions, y_1(t) and y_2(t), not general?

Thank you

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# DE question

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