Question
आदि मान समस्या जहां
के लिए चिरप्रतिष्ठित चतुर्थ कोटि रुंगे-कुट्टा विधि द्वारा y(1.2) का सन्निकट मान ज्ञात कीजिए।
Answer :
Word Count : 264
हमें समीकरण हल करना है: [ \frac{dy}{dx} = xy, \quad y(1) = 2 ] चिरप्रतिष्ठित चतुर्थ कोटि रुंगे-कुट्टा (RK4) विधि का उपयोग करते हुए (h = 0.2) के लिए (y(1.2)) का सन्निकट मान ज्ञात करना है। चरण 1: RK4 सूत्र [ y_{n+1} = y_n + \frac{1}{6}(k_1 + 2k_2 + 2k_3 + k_4) ] जहाँ [ k_1 = h f(x_n, y_n), \quad k_2 = h f\Big(x_n + __________ _____ _____ __________ ______ _________ ____ __________ __________ _________ _____ ______.
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हमें समीकरण हल करना है: [ \frac{dy}{dx} = xy, \quad y(1) = 2 ] चिरप्रतिष्ठित चतुर्थ कोटि रुंगे-कुट्टा (RK4) विधि का उपयोग करते हुए (h = 0.2) के लिए (y(1.2)) का सन्निकट मान ज्ञात करना है। चरण 1: RK4 सूत्र [ y_{n+1} = y_n + \frac{1}{6}(k_1 + 2k_2 + 2k_3 + k_4) ] जहाँ [ k_1 = h f(x_n, y_n), \quad k_2 = h f\Big(x_n + __________ _____ _____ __________ ______ _________ ____ __________ __________ _________ _____ ______.
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