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Determine order and degree (if defined) of differential equations given in \[{{\left( \mathbf{y”’} \right)}^{\mathbf{2}}}~+\text{ }{{\left( \mathbf{y”} \right)}^{\mathbf{3}}}~+\text{ }{{\left( \mathbf{y’} \right)}^{\mathbf{4}}}~+\text{ }{{\mathbf{y}}^{\mathbf{5}}}~=\text{ }\mathbf{0}\]
Determine order and degree (if defined) of differential equations given in \[{{\left( \mathbf{y”’} \right)}^{\mathbf{2}}}~+\text{ }{{\left( \mathbf{y”} \right)}^{\mathbf{3}}}~+\text{ }{{\left( \mathbf{y’} \right)}^{\mathbf{4}}}~+\text{ }{{\mathbf{y}}^{\mathbf{5}}}~=\text{ }\mathbf{0}\]
CBSE | Class 12 | Differential Equations | Exercise 9.1 | NCERT
Determine order and degree (if defined) of differential equations given in \[{{\left( \mathbf{y”’} \right)}^{\mathbf{2}}}~+\text{ }{{\left( \mathbf{y”} \right)}^{\mathbf{3}}}~+\text{ }{{\left( \mathbf{y’} \right)}^{\mathbf{4}}}~+\text{ }{{\mathbf{y}}^{\mathbf{5}}}~=\text{ }\mathbf{0}\]

The highest order derivative present in the differential equation is  and its order is 3.

The given differential equation is a polynomial equation in derivatives and the highest power raised to highest order  is two, so its degree is 2.

Hence, order is 3 and degree is 2.

i

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