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आंशिक अवकल समीकरण का x = 1, t = 1 पर हल ज्ञात कीजिए, जहाँ प्रारंभिक प्रतिबंध है।

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Option 4 : 6
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अवधारणा:

यह आंशिक अवकल समीकरण में दिया गया एक-विमीय तरंग समीकरण है:

जहाँ C2 = T/m, T = प्रत्यास्थ स्ट्रिंग में तनाव, और M = प्रति इकाई लंबाई द्रव्यमान

गणना:

ऊपर दिए गए समीकरण की तुलना करने पर, हमें C = 1/5 प्राप्त होता है

f(x) = 3x, g(x) = 3

f (x + ct) = f (x + t/5) = 3 (x + t/5) = 3x + 3t/5

f (x - ct) = f (x - t/5) = 3 (x- t/5) = 3x - 3t/5

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