Question: 4. [4] Verify that the function y(x) = Ce-2x + Cex is a solution of the linear equation dy dx dx - + dy

4. [4] Verify that the function y(x) = Ce-2x + Cex is a solution of the linear equation dy dx dx - + dy 2y = 0 for any choice of constants and c. In addition, determine these constants for the initial conditions y(0) = 1, y'(0) = 2. (Special note: If you have had linear algebra, note that this solution is a linear combination of the independent "vectors" e-2x and ex.")

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