Class 12 Mathematics - Chapter Differential Equations NCERT Solutions | Determine order and degree(if defined) o
Determine order and degree(if defined) of differential y' + y =ex
y' + y =ex
y' + y - ex =0
The highest order derivative present in the differential equation is y'. Therefore, its order is one.
The given differential equation is a polynomial equation in y' and the highest power raised to y' is one. Hence, its degree is one.
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R = {(x, y): y is divisible by x}
(iv) Relation R in the set Z of all integers defined as
R = {(x, y): x − y is as integer}
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