Question

state the order of ode
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Answer 1

Answer:

We are familar with the following equation:

xd3ydx3−(dydx)4+y=0

Recall that an nth-order ordinary differential equation is linear when

an(x)dnydxn+an−1(x)dn−1ydxn−1+…+a1(x)dydx+a0(x)y=g(x)

We can notice that the given equation is athird order differential, which means that is differential equation of third order.

Now by comparing it with the definition of linear differential equation, we can conlude that the given equation is non linear because of the (dydx)4

Therefore, the equation xd3ydx3−(dydx)4+y=0 is non linear.

Step-by-step explanation:

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