Word Count : 370

---

दिया गया समीकरण है: \[ y'' - 10y' + 9y = 5x, \quad y(0) = -1, \quad y'(0) = 2 \] इस समीकरण को लाप्लास रूपांतर का उपयोग करके हल करेंगे। ### 1. लाप्लास रूपांतर लागू करना: समीकरण में \( y'' \), \( y' \), और \( y \) के लिए लाप्लास रूपांतर ज्ञात होते हैं: \[ \mathcal{L}\{y''\} = s^2 Y(s) - s y(0) - y'(0) \] \[ \mathcal{L}\{y'\} = s Y(s) - y(0) _______ ____ ________ _______ ___ ___ ___.
___ ______ _____ _________ __________.
_______ _______ ___ ______ ______ _____ ______ ___ _________ ______.
__________ _____ _______ _______ _____ _______ _______ _________ _______ __________ ______.
_________ _____ __________ _____ ______ _________.
_________ ______ ___ _____ ____ ________ _____ ____ ________ ____.
_______ _____ ______ ____ ________ ____ __________ __________ ______ _________ ________.
_____ _____ _________ _____ _________ ________ __________ __________ ____ ________.
_____ _____ __________ ______ ___ _________ _________ _______ ________.
____ ___ ______ ___ ____ ___ _________ ____ _____.
____ __________ _______ _________ _________.
___ __________ __________ _______ ____ ______ ________ ______.
___ ____ ______ _____ _______ __________ ______ ___ _____ ________.
_________ ______ ______ ________ ___ _______ ____ _______.
_________ _________ _______ ___ ____ ___.
_______ _________ ______ _____ ________ ____ ____ ________.
_________ _____ _______ _________ _______ _____ _________ __________.
__________ ______ _______ _______ _________ _________ ____ _________ ______.
______ __________ _________ ____ __________ _____ ______ _____ ____ _____.
___ ____ ________ ________ ____.
_____ ____ ___ _____ _______ _________.
______ _________ ______ ________ __________ _______ ______ _______ _____ ________.
_________ ______ ________ _____ ____ __________ ____ ________ _______ ___ ____.
________ ________ _____ ______ ______ ________ _____ _______ _______ ___.
__________ __________ __________ _____ ____ _______ ____ _____ ___ __________ ____ _____.
______ ___ ______ ______ ____ ______ _______ ______ ___ ___ ______.
___ _______ ________ _____ __________ ______ _____ ____ __________ ___ _____.
________ _____ ______ ________ __________.
______ ________ ____ ______ ___ ____ ____ _______ ________ ____ _______.
_________ __________ __________ ___ _________ ____ ____ ________ _____ ___ _______ ______.
_______ _________ _____ ___ _________.
_______ __________ ___ ____ ___ _____ ____ __________ _____.
__________ ________ __________ ________ ______ ____.
__________ _____ ______ ________ _______ __________ _________ ______ ____ _______.
___ ______.
Get Full Answer on WhatsApp