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Determine Order and Degree(If Defined) of Differential Equation Y′ + Y = Ex - CBSE (Commerce) Class 12 - Mathematics

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Question

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

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 Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 8 | Page no. 383
Solution Determine Order and Degree(If Defined) of Differential Equation Y′ + Y = Ex Concept: Order and Degree of a Differential Equation.
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