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Determine Order and Degree(If Defined) of Differential Equation Y′ + Y = Ex - Mathematics

Determine order and degree(if defined) of differential equation y′ + y = ex

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Solution

y′ + y = ex

`=>y' + y - e^x = 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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APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 8 | Page 383
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