Trying to find the right answer to this..

The given differential equation is <img class=Wirisformula style=vertical-align: -12px; src=/application/zrc/images/qvar/MAEN12063279-1.png alt=open square brackets 1 plus open parentheses dy over dx close parentheses squared close square brackets to the power of 3 over 2 end exponent space equals space 5 fraction numerator straight d squared straight y over denominator dx squared end fraction width=141 height=36 align=middle data-mathml=«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced open=¨[¨ close=¨]¨»«mrow»«mn»1«/mn»«mo»+«/mo»«msup»«mfenced»«mfrac»«mi»dy«/mi»«mi»dx«/mi»«/mfrac»«/mfenced»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/msup»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mn»5«/mn»«mfrac»«mrow»«msup»«mi mathvariant=¨normal¨»d«/mi»«mn»2«/mn»«/msup»«mi mathvariant=¨normal¨»y«/mi»«/mrow»«msup»«mi»dx«/mi»«mn»2«/mn»«/msup»«/mfrac»«/math»> This can be written as <img class=Wirisformula style=vertical-align: -13px; src=/application/zrc/images/qvar/MAEN12063279-2.png alt=open square brackets 1 plus open parentheses dy over dx close parentheses squared close square brackets to the power of 3 over 2 end exponent space equals space 25 open parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction close parentheses squared width=167 height=37 align=middle data-mathml=«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mfenced open=¨[¨ close=¨]¨»«mrow»«mn»1«/mn»«mo»+«/mo»«msup»«mfenced»«mfrac»«mi»dy«/mi»«mi»dx«/mi»«/mfrac»«/mfenced»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«mfrac»«mn»3«/mn»«mn»2«/mn»«/mfrac»«/msup»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mn»25«/mn»«msup»«mfenced»«mfrac»«mrow»«msup»«mi mathvariant=¨normal¨»d«/mi»«mn»2«/mn»«/msup»«mi mathvariant=¨normal¨»y«/mi»«/mrow»«msup»«mi»dx«/mi»«mn»2«/mn»«/msup»«/mfrac»«/mfenced»«mn»2«/mn»«/msup»«/math»> ∴ degree of differential equation is 2 and order 2.

Determine the order and degree of the differential equation:
$open square brackets 1 plus open parentheses dy over dx close parentheses squared close square brackets to the power of 3 over 2 end exponent space equals 5 fraction numerator straight d squared straight y over denominator dx squared end fraction$

The given differential equation is

open square brackets 1 plus open parentheses dy over dx close parentheses squared close square brackets to the power of 3 over 2 end exponent space equals space 5 fraction numerator straight d squared straight y over denominator dx squared end fraction

This can be written as

open square brackets 1 plus open parentheses dy over dx close parentheses squared close square brackets to the power of 3 over 2 end exponent space equals space 25 open parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction close parentheses squared

∴ degree of differential equation is 2 and order 2.

104 Views

Differential Equations

Hope you found this question and answer to be good. Find many more questions on Differential Equations with answers for your assignments and practice.

Mathematics Part II

Browse through more topics from Mathematics Part II for questions and snapshot.