Second Order Linear Differential Equations
two solutions, then so is the sum; in fact, so is any linear combination Af x Bg x . Thus, once we know two solutions (they must be independent in the sense that one isn’t a constant multiple of the other) we can solve the initial value problem in theorem 12.1 by solving for A and B. Example 12.1 Solve y y 0 y 0 4 y 0 1
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