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Question
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Solution
\[s^2 \frac{d^2 t}{d s^2} + st\frac{dt}{ds} = s\]
\[ \Rightarrow s\frac{d^2 t}{d s^2} + t\frac{dt}{ds} = 1\]
In this differential equation, the order of the highest order derivative is 2 and its power is 1. So, it is a differential equation of order 2 and degree 1.
It is a non-linear differential equation, as it contains the product of the dependent variable \[\left( t \right)\] and its differential co-efficient \[\left( \frac{dt}{ds} \right)\].
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