Word Count : 421

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हम उस समीकरण पर विचार करते हैं: [ a_0 \cos x + a_1 \sin x + a_2 x \cos x + a_3 x \sin x = 0 ] हमें यह जाँचना है कि सेट ( S = {\cos x, \sin x, x \cos x, x \sin x} ) (\mathbb{R}) पर रैखिक रूप से स्वतंत्र है या नहीं। समान्य प्रक्रिया यह है कि हम यह मान लें कि कोई रैखिक संयोजन शून्य फ़ंक्शन देती है: [ a_0 \cos x + a_1 \sin x + a_2 ________ _____ _________ _________ __________ ______ _____ ________ __________ _________ _________.
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