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Class 12
Mathematics
Differential Equations
determine order and degree if defined of differen...

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

Answer:

y^' + y =e^x

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

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