The solutions to the linear differential equation d2u/dt2 = u form a vector space (since combinations of solutions are still sol
utions). find two independent solutions, to give a basis for that solution space.
1 answer:
Serious high school. This is one of the few differential equations I can solve.
The usual particular solution is because is its own derivative.
An independent solution is which has a negative sign in the first derivative which turns back to positive in the second.
The arbitrary linear combination spans the solution space:
But we only are asked for the basis.
Answer:
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