Question
Apply the method of variation of parameter to solve the differential equation:
Answer :
Word Count : 304
The given differential equation is: [ y'' + 6y' + 9y = \frac{1}{x^3} e^{-3x}, \quad x>0 ] The associated homogeneous equation is: [ y_h'': y'' + 6y' + 9y = 0 ] The characteristic equation is: [ r^2 + 6r + 9 = 0 ] [ (r + 3)^2 = _________ _______ _____ ________ ____ _______ ______ _______ __________ __________.
____ ___ _______ __________ ____ _______ __________.
_____ ________ ______ _____ _____ ______ __________ ___ _____.
__________ _______ _______ ___ _____.
___ _______ _______ ____ _______.
_________ ____ __________ ______ _______ ___ ______.
__________ _________ _______ _________ ___ _________ _________ _______ _____ ____.
____ __________ ___ _____ ______.
____ _______ ______ ___ ______ ____ ___ _______ ______ _________ _______ ________.
_______ _____ ________ _________ ____ ____ ________ ____.
___ __________ _________ ______ __________ ___ ___ ________ ___.
_________ ________ ________ _________ ________ ___ __________.
___ ____ _______ ______ _________ __________ ___ ______.
_____ ________ __________ ____ _____.
___ _____ ________ __________ ________ _________ _______.
_______ ___ _________ ________ _________ _______ ___.
_________ _________ ____ ______ __________ ____ ___.
_______ ____ ____ _____ _____.
_______ ________ __________ _______ ________ _______.
________ _______ _________ ____ ___ ______.
____ _____ ______ _____ _________ _________ _______ _______ ______.
________ _____ ___ ______ _______ ____ ______ ________.
________ __________ _________ ___ ______ _________ __________ _________ _________ _____ _______.
_________ __________ _____ _____ ______ ____ _______ ________.
________ ____ ______ __________ _______ _______ _______ _______ ________ _____ ____ ____.
___ _______ ____ _______ ________ __________ ___.
___ ________ ___ __________ ________ _____ ____ __________ _____ ______ __________ ___.
____ _________ __________ ________ _____ ___ ______.
________ ______ __________ _____ ____ __________.
____ ______ ________ ________ ___ ____ ________ _________ ________ _________ _____.
____ ______ ________ ____ _______ ____ __________ ______ _____ _________ _______ __________.
__________ ______ ________ ________ _______ _____.
Get Full Answer on WhatsApp
The given differential equation is: [ y'' + 6y' + 9y = \frac{1}{x^3} e^{-3x}, \quad x>0 ] The associated homogeneous equation is: [ y_h'': y'' + 6y' + 9y = 0 ] The characteristic equation is: [ r^2 + 6r + 9 = 0 ] [ (r + 3)^2 = _________ _______ _____ ________ ____ _______ ______ _______ __________ __________.
____ ___ _______ __________ ____ _______ __________.
_____ ________ ______ _____ _____ ______ __________ ___ _____.
__________ _______ _______ ___ _____.
___ _______ _______ ____ _______.
_________ ____ __________ ______ _______ ___ ______.
__________ _________ _______ _________ ___ _________ _________ _______ _____ ____.
____ __________ ___ _____ ______.
____ _______ ______ ___ ______ ____ ___ _______ ______ _________ _______ ________.
_______ _____ ________ _________ ____ ____ ________ ____.
___ __________ _________ ______ __________ ___ ___ ________ ___.
_________ ________ ________ _________ ________ ___ __________.
___ ____ _______ ______ _________ __________ ___ ______.
_____ ________ __________ ____ _____.
___ _____ ________ __________ ________ _________ _______.
_______ ___ _________ ________ _________ _______ ___.
_________ _________ ____ ______ __________ ____ ___.
_______ ____ ____ _____ _____.
_______ ________ __________ _______ ________ _______.
________ _______ _________ ____ ___ ______.
____ _____ ______ _____ _________ _________ _______ _______ ______.
________ _____ ___ ______ _______ ____ ______ ________.
________ __________ _________ ___ ______ _________ __________ _________ _________ _____ _______.
_________ __________ _____ _____ ______ ____ _______ ________.
________ ____ ______ __________ _______ _______ _______ _______ ________ _____ ____ ____.
___ _______ ____ _______ ________ __________ ___.
___ ________ ___ __________ ________ _____ ____ __________ _____ ______ __________ ___.
____ _________ __________ ________ _____ ___ ______.
________ ______ __________ _____ ____ __________.
____ ______ ________ ________ ___ ____ ________ _________ ________ _________ _____.
____ ______ ________ ____ _______ ____ __________ ______ _____ _________ _______ __________.
__________ ______ ________ ________ _______ _____.
Get Full Answer on WhatsApp
Related Questions
अनिर्धारित गुणांक विधि से अवकल समीकरण :$
को हल कीजिए। (4)
अवकल समीकरण :
$
को प्राचल विचरण विधि से हल कीजिए।
in
is a linear homogeneous equation
The Pfaffian equation is integrable.
Find the integral surface of the p.d.e.:
through the circle .
हल कीजिए :
The solution of the differential equation with
exists, but is not unique.
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★