Word Count : 389

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यह समस्या एक कंपायमान डोरी के विक्षेपण के बारे में है, जिसमें शून्य प्रारंभिक विक्षेपण और एक प्रारंभिक वेग \( u(x) \) दिया गया है। इसके अनुसार हमें इस स्थिति में डोरी के नियत सिरे का विक्षेपण ज्ञात करना है। कंपायमान डोरी के लिए, हम निम्नलिखित समीकरण का उपयोग कर सकते हैं: \[ \frac{\partial^2 y(x,t)}{\partial t^2} = c^2 \frac{\partial^2 y(x,t)}{\partial x^2} \] यहां \( ______ ________ _________ _________ ________ ________ ___ __________ _______ _____ _____.
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