Chapter 6: Problem 68
Second-Order Differential Equations Find the specific solution to each of the following second-order initial value problems by first finding \(d y / d x\) and then finding \(y\) . (a) \(\frac{d^{2} y}{d x^{2}}=24 x^{2}-10\) when \(x=1, \frac{d y}{d x}=3\) and \(y=5\) (b) \(\frac{d^{2} y}{d x^{2}}=\cos x-\sin x when \)x=0, \frac{d y}{d x}=2\( and \)y=0\( (c) \)\frac{d^{2} y}{d x^{2}}=e^{x}-x\( when \)x=0, \frac{d y}{d x}=0\( and \)y=1$
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