3yy'y''-y'^{3}+1=0 Identify whether the given equations are linear or non-linear.

Amari Flowers

Amari Flowers

Answered question

2021-05-13

3yyyy3+1=0
Identify whether the given equations are linear or non-linear.

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-05-14Added 95 answers

Step 1
Given the differential equation
3yyyy3+1=0
Determine whether it is linear.
Step 2
A linear differential equation is any differential equation that can be written in the following form
an(t)y(n)(t)+an1(t)y(n1)(t)+..+a1(t)y(t)+a0(t)y(t)=g(t)
If there is a product of the function y(t) and its derivatives, then the differential equation is non-linear.
In the given differential equation, the first term contains the product of y(t) and its derivatives y' and y''. Hence it is not linear.

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