Vector Algebra

Question

Find the order and degree of the differential equation $straight x dy over dx plus fraction numerator 3 over denominator begin display style dy over dx end style end fraction equals straight y squared$ state also if this is linear or non-linear.

Solution

The given differential equation is
$straight x dy over dx plus fraction numerator 3 over denominator begin display style dy over dx end style end fraction equals straight y squared$
or $straight x open parentheses dy over dx close parentheses squared plus 3 space equals space straight y squared dy over dx$
or $straight x open parentheses dy over dx close parentheses squared minus straight y squared dy over dx plus 3 space equals space 0$
It is of order 1, degree 2 and non-linear.

For Daily Free Study Material Join wiredfaculty

Vector Algebra

Find the order and degree of the differential equation $straight x dy over dx plus fraction numerator 3 over denominator begin display style dy over dx end style end fraction equals straight y squared$ state also if this is linear or non-linear.

Some More Questions From Vector Algebra Chapter

Determine order and degree (if defined) of differential equations:
y' + y = e^x

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location

For Daily Free Study Material Join wiredfaculty

Vector Algebra

Find the order and degree of the differential equation state also if this is linear or non-linear.

Some More Questions From Vector Algebra Chapter

Determine order and degree (if defined) of differential equations:y' + y = ex

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the order and degree of the differential equation $straight x dy over dx plus fraction numerator 3 over denominator begin display style dy over dx end style end fraction equals straight y squared$ state also if this is linear or non-linear.

Determine order and degree (if defined) of differential equations:
y' + y = e^x