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  1. E

    Fundamental set of solutions

    those are not linearly dependent.If U was a constant instead of U(t), they would be.
  2. E

    Fundamental set of solutions

    You are correct, they cannot be multiples, they cannot be linearly dependent, as that means they are the same solution. (u=au1+bu1=cu1.)
  3. E

    PDE derivation

    You should use chain rule for composite differentials, you can't pull out that d/dx term like that in the first post.The best way is, write out all the terms of the end result. Simplify and try to collect to get the first expression.Its pretty straightforward.You know chain rule right...