The functions \( \mathrm{u}=\mathrm{e}^{\mathrm{x}} \sin \mathrm{x} ; \mathrm{v}=\mathrm{e}^{\ma...
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0The functions \( \mathrm{u}=\mathrm{e}^{\mathrm{x}} \sin \mathrm{x} ; \mathrm{v}=\mathrm{e}^{\mathrm{x}} \cos \mathrm{x} \) satisfy the equation
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(A) \( v \frac{d u}{d x}-u \frac{d v}{d x}=u^{2}+v^{2} \)
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(B) \( \frac{d^{2} u}{d x^{2}}=2 v \)
(C) \( \frac{d^{2} v}{d x^{2}}=-2 u \)
(D) \( \frac{d u}{d x}+\frac{d v}{d x}=2 v \)
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