Question
Download Solution PDFयदि y = p sin3x + q cos 3x है, तो फलन के लिए कौन-सा सही है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
कुछ उपयोगी सूत्र निम्न हैं:
\(\rm {d(sinax)\over dx} =a\ cosax\)
\(\rm {d(cosax)\over dx} =-a\ sinax\)
गणना:
y = p sin3x + q cos 3x
उपरोक्त समीकरण का अवकलन करने पर हमें निम्न प्राप्त होता है,
\(\rm {dy\over dx} =3p\cos3x-3q\sin3x\)
आगे अवकलन करने पर हमें निम्न प्राप्त होता है,
\(\rm {d^2y\over dx^2} =-9p\sin3x-9q\cos3x\) = -9y
∴ \(\rm {d^2y\over dx^2} +9y=0\)
Last updated on Jul 4, 2025
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